Morgan Frost did tie it 1-1 on a penalty shot at 4:23 of the second period. It was the Flyers' fourth penalty-shot goal this season, tying the NHL single-season record.
Maccelli put the Coyotes ahead 2-1 at 7:57 when he banked a shot off Ersson's skate from behind the net.
Konecny tied it again 2-2 at 9:55, finishing a 2-on-1 with Laughton with a snap shot from the bottom of the right circle.
Laughton had limped to the bench in the first period after blocking a shot by Coyotes defenseman Sean Durzi during a penalty kill, but he was able to return to the bench after going halfway down the tunnel.
"Get some ice on it and you find a way at this time of year to get through it," Laughton said. "Something that needs to happen at this time of year."
Kerfoot put the Coyotes back in front 3-2 at 14:02. He took a lead pass from Jason Zucker, shifted the puck from forehand to backhand around Ersson, and put it in at the right post.
"One-goal lead is a one-shot lead," Arizona coach Andre Tourigny said. "It's not like we lost a two-goal lead. We had the chance to create that separation in the game, but we could not bury it."