Milne also played his first ODI in more than five years in November, with his last game in the format having come during the Champions Trophy in 2017.
There was also no place for allrounder James Neesham, who too had turned down an NZC offer nearly a year back, while committing himself to T20 leagues around the world.
Under the terms of the Master Agreement, all New Zealand players have until June 12 to accept or decline the contract offers made by NZC.
Players offered NZC contracts for 2023-24: Finn Allen, Tom Blundell, Michael Bracewell, Mark Chapman, Devon Conway, Lockie Ferguson, Matt Henry, Kyle Jamieson, Tom Latham, Adam Milne, Daryl Mitchell, Henry Nicholls, Glenn Phillips, Mitchell Santner, Ish Sodhi, Tim Southee, Blair Tickner, Neil Wagner, Kane Williamson and Will Young