Sydney: Openers David Warner and Usman Khawaja will miss Australia's one-day Chappell-Hadlee series in order to rest and prepare for next month's tour of India.
"David has had a very big summer and will benefit from a break in cricket, both mentally and physically," interim national selector Trevor Hohns said Monday.
Vice-captain Warner was man-of-the-match against Pakistan in Sydney on Sunday when he hit 130 off 98 balls, his 12th one-day century.
Hohns praised Finch's return to form in the Twenty20 format.
Western Australian batsman Shaun Marsh is the only other change to the one-day side that have already won the current one-day series against Pakistan 3-1 with a match left to play in Adelaide on Thursday.
Marsh comes in for Usman Khawaja who is heading to Dubai early to prepare for the tour of India next month.
The squad will depart for New Zealand on Friday with Australia currently holding the one-day Chappell-Hadlee trophy after beating New Zealand 3-0 at home late last year.
The matches are in Auckland on January 30, Napier on February 2 and Hamilton on February 5.
Australia squad: Steve Smith (capt), Pat Cummins, Aaron Finch, James Faulkner, Peter Handscomb, Josh Hazlewood, Travis Head, Shaun Marsh, Glenn Maxwell, Mitchell Starc, Billy Stanlake, Marcus Stoinis, Matthew Wade, Adam Zampa.