But with the Kiwis set to play a total of 14 Tests during the current cycle, Mitchell knows his side have plenty of work ahead before they think about a potential place in the World Test Championship final at Lord's in the middle of 2025.
"He has indicated he's available for the World Cup," Stead told reporters.
The Indian-born 29-year-old, New Zealand's top domestic wicket-taker in the past three seasons, replaces all-rounder Mitchell Santner who is still recovering from knee surgery.
Tom Latham led New Zealand out on the field in Sydney on Friday in the absence of unwell Kane Williamson. Australia won the toss and decided to bat first. IMAGES from Day 1 of the 3rd Test between Australia and New Zealand in Sydney on Friday
With Kane Williamson likely to miss the Test, New Zealand will have a lot of work to do in the 3rd Test in Sydney.
Kusal Mendis and captain Dimuth Karunaratne handed Sri Lanka a strong start in Day 1 of the first Test against New Zealand.
Images from Day 2 of the first Test between Australia and New Zealand in Perth on Friday
The opening day of the ICC World Test Championship final between India and New Zealand was called off due to persistent rain, in Southampton, on Friday.
India and New Zealand will lock horns in the finals of WTC at the Ageas Bowl, Southampton
New Zealand were in trouble at 37 for 3 at stumps in reply to England's declared first innings total of 325 for 9 at Bay Oval, with seven wickets tumbling in a frantic evening session.
England trail New Zealand's first innings by 69 runs but need to survive the remaining 31 overs in the final session to stop the hosts from taking a 1-0 lead in the two match series.
Williamson's elbow injury kept him out of a Test match in India in December and home series against South Africa and Bangladesh.
Conway's 78 from 108 balls on a grassy pitch gave the hosts a flying start
IMAGES from Day 2 of the 3rd Test played between England and New Zealand at Headingley on Friday.
The hosts, who won the first Test in Hamilton by an innings and 134 runs, scored 460 in their first innings with Henry Nicholls notching his highest Test score of 174.
Batsman Neil Broom has also been offered a contract after he was recalled to the national side following a lengthy absence to replace Ross Taylor while he recovered from eye surgery.
Watling, who was initially a top-order batsman and part-time wicketkeeper when he first made the New Zealand side in 2009, moved one behind Adam Parore's national record as the hosts bowled Bangladesh out for 234 early in the final session.
Jasprit Bumrah jumped six spots to fourth but struggling star batter Virat Kohli slipped to ninth
For Kohli, a trophy-less cabinet doesn't do justice to the champion performer that he has been for a decade.
New Zealand's pace bowlers sparked a final session collapse to dismiss Pakistan for 230 and give them a 138-run victory in the second Test at Seddon Park in Hamilton on Tuesday, a win that also clinched a first series triumph over Pakistan since 1985. The visitors had set themselves up for an enticing final session pursuit for the 369 victory target having moved to 158 for one at tea, but a more attacking strategy and the second new ball swung the game back in New Zealand's favour.
New Zealand paceman Kyle Jamieson is likely to play only in the opening pink ball Test against England in the two-match series as staff take a cautious approach with the recovering quick.
Smith (900 points) is placed second behind New Zealand captain Kane Williamson (919).
Brook has now scored four centuries in his past five Tests
India are welcome to subject Steve Smith to a bouncer barrage but the batsman is well-equipped to succeed
Ahead of the India-New Zealand series, Rajneesh Gupta looks at the Black Caps' Test records.
IMAGES from Day 3 of the Boxing Day Test played between Australia and New Zealand at the MCG on Saturday.
Most of the Test squad and staff had been transferred to hotel quarantine where they will warm up for the two-Test series against England
Joe Root ended a poor run of form when he scored his 17th Test century and led England to 269-5 before rain ended play early on the third day of the second Test against New Zealand, at Seddon Park in Hamilton, on Sunday.
As curtains dropped on the third day of the first Test against New Zealand, England strengthened their stranglehold with Stuart Broad ripping through the Kiwi top-order at the Bay Oval.
James Pattinson grabbed three wickets to brighten Australia's prospects of a comprehensive victory in the second Test against New Zealand with the hosts reeling at 121 for four by the end of the third day on Monday.
New Zealand's bowlers ripped through the West Indies tail after lunch on the fourth day of the first Test in Wellington on Monday to record an innings and 67-run victory and take a 1-0 lead in their two-match series.
Images from Day 2 of the first Test between New Zealand and South Africa in Christchurch on Friday.
Australia's batting mainstay Steve Smith dared the lethal Indian fast bowling unit to bring on the short stuff in the four-match Test series starting next month.
KL Rahul dropped two places to be sixth while Virat Kohli remained static on 10th in the batters' list.
New Zealand will go into the final day of the first Test against Sri Lanka needing 257 runs for victory with nine wickets in hand.
Opener Tamim Iqbal survived two dropped catches to hit an entertaining 95 as Bangladesh reached 228 for five wickets before rain stopped play after tea on the opening day of the second and final Test against New Zealand.
The tourists had resumed on 30-1 on Monday and then lost four wickets for 13 runs before Rizwan and Fawad Alam stopped the rot with a cautious partnership of just 28 runs in 17 overs.
Captain Kane Williamson returns to the side after missing the second Test
Kohli is the leading Indian batsman in the chart with 886 rating points behind Australia's Steve Smith (911 points).
Kyle Jamieson took his second five-wicket haul as New Zealand ripped through the West Indies batting lineup to leave them in dire straits on 124-8 at the close of play of the second day of the second Test at the Basin Reserve on Saturday.
