Arizona got one more before the period was over, a Nick Schmaltz tally at 18:02 to end the stanza 4-2. The goal was challenged for goaltender interference, but the call on the ice stood.
Primeau did not return for the final frame; Sam Montembeault started the third for the visitors.
Montembeault stopped all five shots he faced, but the Coyotes added an empty netter to end the game 5-2.
The Canadiens will be back in action on Tuesday when they travel to Dallas to take on the Stars.