The 31-year-old Williamson also sat out the two-Test home series against Bangladesh last month due to the niggling elbow issue.
Kane Williamson will miss the second Test against England after testing positive for COVID
Jacob Duffy, Blair Tickner, Rachin Ravindra and Hamish Rutherford were released from the initial 20 player squad.
Arshdeep Singh overstepped three times in a row in the second over of the Sri Lankan innings, becoming the first Indian to bowl a hat-trick of no-balls in T20 Internationals.
The two players decided to pull out in favour of playing for their provinces in the Plunket Shield, New Zealand's domestic first class championships.
Williamson's elbow injury kept him out of a Test match in India in December and home series against South Africa and Bangladesh.
Images from the Day Two of the second and final Test between New Zealand and India, at the Basin Reserve, in Wellington, on Saturday.
He might have been under the scanner for a while now due to poor form, but India's pacer Ishant Sharma, who reached the milestone of 150 Test wickets on Thursday, says he is happy with the way he is bowling.
New Zealand will head into their first Test against England on March 6 with a new opening partnership after the recall of Peter Fulton and inclusion of the uncapped Hamish Rutherford and Tom Latham in their squad on Sunday.
New Zealand have brought paceman Tim Southee and batsman Hamish Rutherford into the squad for the second One-day International against England on Wednesday after injuries to seamer Mitchell McClenaghan and opener Martin Guptill.
New Zealand captain Brendon McCullum led from the front on Tuesday to help the Black Caps defeat England by five runs in an high-scoring Twenty20 international at the Oval on Tuesday.
Peter Fulton scored his maiden Test century as he anchored New Zealand to an impressive 250 for one at the close of play on the first day of the series-deciding third Test against England at Eden Park on Friday.
About a year ago, New Zealand opening batsman Hamish Rutherford was spending his days working as a barista in a coffee shop unsure of when his next first class game would be.
Hamish Rutherford made the second-highest score by a New Zealander on debut to help extend the first innings lead over England to 218 runs at tea on the third day of the first test on Friday.
Openers Hamish Rutherford and Peter Fulton capitalised on the cheap dismissal of England by guiding New Zealand to 131 without loss at close of play on the second day of the first Test on Thursday.
Sri Lanka fast bowler Lasith Malinga claimed four wickets in four balls for the second time in his international career to rip through the New Zealand batting order in a Twenty20 International at Pallekele on Friday.
New Zealand's Twenty20 champions Otago Volts enter the tournament as a strong contender for the title. Brendon McCullum is a proven match-winner, while all-rounder Dmitri Mascarenhas is capable of making a difference with both bat and ball.
New Zealand named an unchanged squad that beat West Indies 2-0 in December for the two-match Test series against India starting February 6.
'A lot of our recent success has been based on the value of our number six batsman bowling some overs and we're comfortable continuing in that vein'
India discard Gautam Gambhir's woeful county stint continued after he failed for the fourth time while turning up for Essex, this time in a first-class match against Gloucestershire, in Bristol, on Wednesday.
Vijay Shankar and Shreyas Iyer scripted a superb chase to help India 'A' notch up a thrilling four-wicket win over New Zealand 'A' in a high-scoring unofficial, in Mount Maunganui, on Friday.
Opting to bat after winning the toss, India A declared their first innings after some useful contributions from the lower-order batsmen. The visitors were 340 for five at stumps on the opening day at the Bay Oval.
Bangladesh all-rounder Shakib Al Hasan picked all three New Zealand wickets to fall as the visitors put up 107 for three before rain returned to halt play on Day 2 of the second and final Test on Tuesday.
Pacer Ishant Sharma became the 12th Indian to take 150 Test wickets when he dismissed opener Hamish Rutherford on the opening day of the first Test against New Zealand, in Auckland, on Thursday.
The 26-year-old New Zealand-born Stokes was omitted from the England touring party to Australia for the Ashes and remains suspended pending the outcome of a police investigation into an incident outside a Bristol nightclub in September.
Spin-bowling all-rounder Mitchell Santner has been retained in New Zealand's 12-man squad for the two-match Test series against Sri Lanka after an impressive debut in the third and final Test against Australia.
Swing bowler Kyle Mills will captain New Zealand for the first time on his country's limited overs tour of Sri Lanka later this month after Kane Williamson was ruled out with a broken and dislocated thumb.
New Zealand captain Brendon McCullum and senior batsman Ross Taylor will skip next month's limited overs series in Sri Lanka to prepare for December's home tests against West Indies, the country's cricket board said on Saturday.
Sohag Gazi struck a maiden century as the Bangladesh lower order fought back on the fourth day of the first Test against New Zealand to leave the match in Chittagong heading for a draw.
The fond memories of 2015 came rolling back for Mitchell Starc after beginning his World Cup campaign in near-identical fashion to his crowning moment.
Kane Williamson hit a fourth Test hundred to put New Zealand on top on the first day of their opening Test against Bangladesh on Wednesday. The visitors, who chose to bat after winning the toss, reached 280 for five at stumps with the last two wickets falling in the last two overs of the day on a slow and low surface in Chittagong.
Kane Williamson inched towards his ninth Test century as he and BJ Watling staved off Sri Lanka's push for victory at the close of play on the third day of the second Test at the Basin Reserve on Monday.
Kane Williamson and Ross Taylor calmly guided New Zealand to an eight-wicket victory over Sri Lanka in the first Test at Hagley Oval in Christchurch on Monday.
Skipper Brendon McCullum led from the front, smashing an unbeaten 83, as Otago Volts from New Zealand beat Pakistan's Faisalabad Wolves by eight wickets in a qualifying round match of the Champions League Twenty20 in Mohali on Tuesday.
Jermaine Blackwood completed a half-century on debut to put West Indies in control of the second test against New Zealand in Trinidad on Wednesday. The 22-year-old Jamaican celebrated his call up to the test team with a well-crafted 63 at Queen's Park Oval in Port of Spain.
Martin Guptill has been recalled to the New Zealand Test squad for the two-match tour of England after the top-order batsman finished top scorer at the recent 50-over cricket World Cup.
All-rounder Jimmy Neesham and batsman Tom Latham have been named in New Zealand's team for the second Test against India after Jesse Ryder and Doug Bracewell were dropped for a late night drinking session in Auckland last week.
Uncapped leg spinner Ish Sodhi and all rounder Corey Anderson have been promoted from the New Zealand 'A' team to the full Test squad for a two Test series in Bangladesh in October.
Pakistan Cricket Board (PCB) Chairman Shahryar Khan believes the Lahore Lions' successful participation in the ongoing Champions League Twenty20 will open the Indian Premier League doors for the country's players.
West Indies fast bowler Jerome Taylor, revelling in his return to the Test arena after a nearly five-year absence, made up for lost time with a devastating spell in the second Test against New Zealand on Monday.