They will be coached by former All Blacks gaffer Sir Graham Henry, who represented Canterbury and Otago at cricket.
The "Black Caps" will be mentored by Fleming, and include Brendon McCullum, Kyle Mills, Grant Elliott and Luke Ronchi.
Daniel Vettori, Chris Harris and Nathan Astle are also candidates to play.
The idea is to pit rugby players who might otherwise have been professional cricketers, against some of the best former New Zealand representatives.
Sunday, January 27 seems the most likely option for a date. That falls on the final weekend before All Blacks end of year tour members re-join their Super Rugby franchises. The date is bookended by New Zealand-India one-day internationals in Mt Maunganui, and coincides with Auckland anniversary weekend.
The match will replicate South Africa's Nelson Mandela Legacy Cup where the Springboks play the Proteas.
Johannesburg's Wanderers Stadium hosted the inaugural duel in 2014, in which Springboks lock Victor Matfield's 62 off 36 balls guided his rugby comrades to victory.
Fleming let the idea percolate after a conversation with South African captain Faf du Plessis. The pair work together as coach and player at the Chennai Super Kings in the Indian Premier League.
"I thought if we had the opportunity with a brand as big as the All Blacks, it would pique my interest," Fleming told the Herald on Sunday.
The former New Zealand captain envisages something similar to the Fill The Basin spectacle which fundraised for Christchurch in the aftermath of the 2011 earthquake.
"There is almost a bit of romanticism around this one, bringing a game to Christchurch in its rebuild.
Proceeds will be donated to the benevolent funds of the New Zealand rugby and cricket players' associations for members who fall on hard times, and to establish academic scholarships for retired players in both codes. The event will be corporate-sponsored.
