Phoenix selected Domi with 12th overall pick in this summer's draft. The Toronto-born forward scored 39 goals and 87 points in 64 games last season for the Ontario Hockey league's London Knights.
He also had a team-high 32 points in 21 post-season games, leading the Knights to their second consecutive OHL Championship.
"Max is a very talented young player with a bright future," said Coyotes general manager Don Maloney in a statement Sunday. "He had an impressive prospect development camp and we look forward to watching his progress."
Domi has been named to Hockey Canada's roster for the 2013 National Junior Team summer development camp, which will take place Aug. 4-10 in Brossard, Que., and Lake Placid, N.Y.