On the power play, the Coyotes evened up the score when Lawson Crouse, who was originally selected by the Panthers with the 11th overall pick in the 2015 NHL Draft, threaded a wrist shot between Spencer Knight's left arm and pad to make it 1-1 at 13:47.
In the third period, the Coyotes cashed in on the power play again when Nick Ritchie took a pass from Clayton Keller and fired a rising shot over Knight's glove and into the back of the cage from the slot to make it 2-1 at 8:55.
Moments earlier, Knight had made two huge stops - one on a backhand from Crouse from in front and the other on a one-timer from Barrett Hayton from the right circle - while on the penalty kill.
"The first 10 [minutes] of the third period is where we lost the hockey game," Panthers head coach Paul Maurice said. "We had done what we needed to do and didn't accept through 40 minutes that it was still a tight game. Then those first 10 minutes we did a lot of things we haven't done much this year, uncharacteristic plays. We put ourselves in that position."
After pulling their goalie in favor of the extra attacker late in regulation, the Panthers came up empty despite a mustering multiple shots on goal. With 1:07 left on the clock, Keller squashed any hope of a comeback for the Cats when he buried an empty-netter to extend Arizona's lead to 3-1.
Vejmelka made 41 saves, while Knight stopped all 18 shots he faced at even strength.
"It's a hard-fought game," Bennett said. "We grinded right until the end. I think we're not going to lose too many games if we play like that. You don't want to take too many negatives from that game."