Radim Vrbata had the lone shootout goal for Phoenix, 7-1-1 in its last nine games.
Pirri tied the score 4-all 3 minutes into the third, and 4 seconds after a Chicago power play had elapsed. He connected on a midair deflection of Brent Seabrook's drive from the top of the circle.
Brandon Saad, Patrick Sharp and Marian Hossa also scored in regulation for the Blackhawks, who extended their point streak to eight games (7-0-1). Chicago fired a season-high 52 shots through overtime at Coyotes goalie Mike Smith.
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