The skipper also lauded the effort of the fielders and insisted that the team is committed to improve the fielding standards.
"The catching was brilliant, Viru pa (Virender Sehwag) got some very good catches and (Virat) Kohli was equally good on the field. It is something we want to continue," he said.
India, after posting 438 on the board in their first innings, dismissed New Zealand twice to inflict on them an innings and a 115-run defeat.
Cheteshwar Pujara scored a brilliant 159 to help India cross the 400-run mark before Ravichandran Ashwin ran through the Kiwi batting order, returning career-best match figures of 12/85.
"Pujara batted well. It was important for Pujara as he was coming after an injury. He is someone who is used to playing long innings. He has a good temperament and can play for long periods and the stroke-makers can play around him," he said.
The skipper meanwhile also took an opportunity to congratulate the Indian colts for lifting the Under-19 Cricket World Cup against Australia.
"Congratulations to the U-19 World Cup team, Unmukt Chand batted really well," the skipper said.