Kerfoot put Arizona up 1-0 at 2:36 of the first period, a snap shot off the rush from inside the left circle that beat Wolf blocker side.
Matias Maccelli pushed it to 2-0 at 3:55 when he put back a rebound off the end boards on Josh Brown's errant point shot.
Kuzmenko trimmed it to 2-1 at 7:22 when he shot into a virtually empty net on a goal-line pass from Kadri.
Kuzmenko has 16 points (nine goals, seven assists) in his past nine games, and has a team-leading 14 goals since being acquired from the Vancouver Canucks on Jan. 31.
"I think it's just that rejuvenation feeling coming to a new team, trying to prove some doubters," Kadri said. "I think that chip on your shoulder can be motivating for certain players. Just playing with me, I just try to get a read off him. He definitely likes to chat and communicate and draw up some plays. If he continues to do the little things that have got him in these situations, he'll continue to have success."
Matt Coronato tied it 2-2 at 9:42. He intercepted a Maccelli pass inside Calgary's blue line and kept on a 2-on-1 rush, shooting by Ingram's glove.
Guenther put Arizona back up 3-2 at 17:54 with a one-timer from the right face-off dot on a setup from Sean Durzi.
Zary one-timed a pass from below the goal line from Dryden Hunt to tie it 3-3 at 9:07 of the second period.
Guenther gave the Coyotes a 4-3 lead at 15:14 with a one-timer over a sprawling Wolf, and Josh Doan extended the lead to 5-3 at 16:17 with a shot over Wolf's right shoulder.