The three-match series, which was part of the Women's ODI Championship, was won by India 2-1 but they suffered an eight-wicket loss at Hamilton on February 1 after being bowled out for 149 at Hamilton.
Harmanpreet Kaur, who did not get to do much in ODIs in which Mithali Raj was captain, will lead the T20 side. It will be India's first game in the format ever since that infamous loss to England at the Word T20 in the Caribbean, where Mithali was dropped for the all-important semifinal.
That decision of the team management triggered a massive controversy and Ramesh Powar was replaced by WV Raman as the head coach.
Questions were raised over Mithali's strike-rate in the shortest format and it remains to be seen how she approaches the series, having played a record 200th ODI at Hamilton.
Surprisingly, the Indian batters struggled most against spinners in the third ODI and that is one area they would be looking to improve.
Mandhana, however, had a memorable series with scores of 90 and 105, enough to earn her the player of the series award.
Tanya Bhatia had opened with Mandhana in the World T20 semifinal against England but since then Rodrigues has formed a potent pairing with the southpaw.
Eyes will also be on uncapped all-rounder Priya Punia, who replaced an out of form Veda Krishnamurthy in the squad.
The three-games will also help the team management assess where it stands ahead of the T20 World Cup in Australia early next year.
India: Harmanpreet Kaur (C), Smriti Mandhana, Mithali Raj, Jemimah Rodrigues, Deepti Sharma, Taniya Bhatia, Poonam Yadav, Radha Yadav, Anuja Patil, Ekta Bisht, Dayalan Hemalatha, Mansi Joshi, Arundhati Reddy, Shikha Pandey, Priya Punia.
New Zealand: Amy Satterthwaite (C), Suzie Bates, Bernadine Bezuidenhout, Sophie Devine, Hayley Jensen, Caitlin Gurrey, Leigh Kasperek, Amelia Kerr, Frances Mackay, Katey Martin, Rosemary Mair, Hannah Rowe, Lea Tahuhu.
Match starts 8.30 am IST.