Fleming, playing a record 87th Test for his country, struck 137 not out in NZ's 338 for three in the first Test against Bangaldesh.
Chris Cairns, whose wife is expecting their second child, will not play in the Test matches but is on the limited-overs team.
The New Zealand all rounder is out after breaking a little finger at practice in Wellington.
Also missing from the 12-man party for the games in Auckland and Napier is the evergreen one-day stalwart Chris Harris, who is not fully fit following a shoulder injury.
The New Zealand chief selector was all praise for the bowling but said the batting had yet to reach its mark.
Do you believe Hadlee was right? Should ball-tampering be legalised?
McMillan has had a wretched domestic summer and his omission has opened the way for Matthew Horne to return to the squad.
Chatfield had hoped to score a century before he retired but his highest was "50 something" in club cricket. He was dismissed for a golden duck in his final innings, although he said he did not want that innings reported.
'The art of swing bowling should come back. Learning the knuckle ball and all is fine. If you don't know how to swing the ball, everything is waste.'
Overall, India enjoy a wonderful against the Kiwis in Tests, having won 18 matches out of 52, but have clinched victory in only five games out of 21 in New Zealand.
Unbeaten in seven Test series since 2013, New Zealand are widely viewed to have their best chance in a good while to secure a second series victory on Australian soil to go with the Richard Hadlee-inspired 1985 triumph.
They will need to bat the entire final day on a deteriorating Bay Oval pitch in Mount Maunganui on Wednesday to stop the hosts taking a 1-0 lead in the two-match series.
'We had that confidence and the belief came from the last two to three years. Not many have been watching us but we were quietly doing our job'
Semi-finalists six times. Runner-up in 2015. Rajneesh Gupta highlights important numbers for the New Zealand team from World Cups.
By picking all 10 wickets, Ajaz Patel joined Jim Laker and Anil Kumble.
New Zealand legend and player of the 1992 cricket World Cup, Martin Crowe, was inducted into the ICC Hall of Fame for his service to the game.
On December 17, 1988, former India captain Mohammed Azharuddin blasted his way to a 62-ball-100, then the fastest hundred in 50-over cricket.
Images from Day 2 in the first Test between India and Sri Lanka, in Mohali, on Saturday.
New Zealand's towering new all-rounder Kyle Jamieson provided a second consecutive match-winning performance in the second Test against India at Hagley Oval on Monday as the home side clinched a 2-0 series win. He took Player of the Series honours after taking 5-45 in India's first innings followed by 49 batting at number nine as India's pace bowlers fought back on a green pitch offering extravagant movement off the seam.
James Anderson is far from being done after becoming the first pacer to amass 600 Test wickets and he sees no reason why he can't enter the 700-club alongside Shane Warne and Muttiah Muralitharan even though he has hit 38.
Tim Southee rescued New Zealand with the bat then dragged his side back into the match
In his first Test in 1989, Sachin Tendulkar was up against a Pakistan pace attack comprising Imran Khan, Wasim Akram and Waqar Younis. Tendulkar, at that point in time, felt he was not good enough for international cricket.
Cricket greats honoured Martin Crowe at an emotional funeral for New Zealand's greatest batsman, on Friday, with his cousin, Hollywood star Russell Crowe, acting as a pallbearer.
Guess which Indian batsman has scored the most runs against New Zealand? Rajneesh Gupta tells you that and more.
'Batsmen were good, but if have to win overseas, we have to get players from the MRF Pace Foundation and the NCA coming through, try to prepare pitches to encourage these faster bowlers rather than dusty turners'
New Zealand batsman Ross Taylor has reportedly been named the country's Player of the Year twice at the annual New Zealand Cricket Awards in Auckland for the 2013-14 season, topping in every category he was nominated in.
'I felt Test cricket is just beyond my reach.' 'And slowly, slowly, I started doing well.' 'In the second Test against Pakistan, I scored a fifty and when we went to Sialkot I played a series-saving innings, which was a game changer for me.' 'At that stage that was the most important innings of my life.'
Former India captain Kapil Dev said that comparisons between all-rounders in international cricket can only happen when each one has played 50 Test matches in his career. The World Cup winning captain and a legendary all-rounder during his time, Kapil does not believe that one should jump into conclusions after watching a player in just two or three series.
England's James Anderson is the first fast bowler to take 600 Test wickets.
India's pace spearhead Mohammed Shami received the biggest compliment in his two-year international career as one of the greatest fast bowlers of all time Sir Richard Hadlee termed the young seamer's efforts in the ICC Cricket World Cup "particularly impressive".
The refurbished Sardar Patel Stadium in Motera is now renamed Narendra Modi Stadium.
A virgin Motera pitch has become the big talking point as captain Virat Kohli looks to get the combination right with India looking to continue their momentum to trouble England in the day-night third Test match, starting in Ahmedabad, on Wednesday.
Pietersen said in his stirring address, which focussed on highlighting the relevance of Test cricket.
Legendary New Zealand cricketer Richard Hadlee believes that players who were involved in making illegal money have let the supporters and fans down and "that's why the penalty must be very severe."
India off-spinner Ravichandran Ashwin became the fastest bowler to reach the milestone of 300 Test wickets in his 54th match, breaking Dennis Lillee's record during India's win over Sri Lanka in the second Test, in Nagpur on Monday.
New Zealand captain Brendon McCullum has been awarded Sir Richard Hadlee medal.
New Zealand great Martin Crowe will be inducted into the ICC Cricket Hall of Fame.
Pakistan's seam attack dragged their side back into the first Test against New Zealand on Saturday by capturing seven wickets before lunch, bowling the hosts out for 200 on the third day. Sohail Khan, Rahat Ali and Mohammad Amir shared the wickets as the hosts were bundled out with a lead of 67 runs. New Zealand had bowled Pakistan out for 133 before tea on Friday at Hagley Oval in Christchurch.
Former New Zealand captain Daniel Vettori has ruled himself out of any cricket for six months to recover from Achilles surgery and rejected a New Zealand Cricket (NZC) central contract while he considers his future.
