Michael Zigomanis, Fredrik Sjostrom and Oleg Saprykin also scored for Phoenix, which hasn't lost in regulation in its last eight, going 7-0-1.
The Coyotes' Mikael Tellqvist made 32 saves, including several on tough chances in the third period.
Phoenix was 2-for-5 on the power play against Chicago, and is 10-for-31 with the advantage in its last seven games.
Patrick Sharp and Peter Bondra scored for the Blackhawks, who lost their third straight overall and third straight at home. Chicago has dropped five of its last six.