"David Warner has had a very big summer and will benefit from a break in cricket, both mentally and physically," interim chairman of selectors Trevor Hohns said.
"He will travel to Dubai in the second group of departures to coincide with those players arriving from the one-day series in New Zealand."
Warner is a huge drawcard and will be missed, but you wonder if it will hit the turnstiles.
Unlikely. Australia are a big enough attraction as it is and New Zealand's bowlers probably won't be downcast at Warner's omission.
Veteran Aaron Finch, dropped by Australia this summer, gets a late chance to show what he can do at the top of the order, while Shaun Marsh will likely be his opening partner.
At the other end of the batting order, bowling kingpins Mitchell Starc and Josh Hazlewood are both coming to New Zealand, with fast bowling support from Pat Cummins and newcomer Billy Stanlake.
James Faulkner and Marcus Stoinis are the allround picks, while Glenn Marshall and Adam Zampa are the spinners.
The last time Maxwell was at Eden Park he made a goose of himself, producing a choke hold on himself to the crowd as New Zealand lost a flurry of wickets before ultimately winning their World Cup pool game in 2015.
The series will continue in Napier on February 2 and ends at Hmilton's Seddon Park on February 5.
Australia regained the trophy with their 3-0 win at home in December.
Australia: 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.