The 22-year-old Welsh bowler will provide cover for Stuart Meaker after the Surrey man missed England’s warm-up match against a New Zealand XI with a neck strain.
The T20 tie was abandoned due to rain after 9.1 overs with the hosts on 70-1 as England toiled. The tie has been rearranged for Tuesday morning.
The first T20 between New Zealand and Stuart Broad’s side takes place in Auckland on Saturday, with the tourists also facing the Kiwis in a one-day international and Test series in February and March.
England Test squad to face New Zealand: Alastair Cook (capt), Nick Compton, Jonathan Trott, Kevin Pietersen, Ian Bell, Joe Root, Jonny Bairstow, Matt Prior, Chris Woakes, Stuart Broad, Graeme Swann, Steven Finn, James Anderson, Monty Panesar, Graham Onions.
England Twenty20 squad to face New Zealand: Stuart Broad (captain), Jonny Bairstow, Danny Briggs, Jos Buttler, Jade Dernbach, Steven Finn, Alex Hales, James Harris, Michael Lumb, Stuart Meaker, Eoin Morgan, Samit Patel, James Tredwell, Chris Woakes, Luke Wright.
England ODI squad to face New Zealand: Alastair Cook (captain), James Anderson, Jonny Bairstow, Ian Bell, Stuart Broad, Jos Buttler, Steven Finn, James Harris, Eoin Morgan, Samit Patel, Joe Root, Graeme Swann, James Tredwell, Jonathan Trott, Chris Woakes.
MORE: The latest football news
MORE: The latest tennis news
BIOGRAPHY: Marcus Rashford