The Panthers didn't have a shot for the first 10 minutes but killed off two penalties and jumped out on top when Trocheck scored his 10th goal in 14 games on a rebound at 14:24.
But the Coyotes responded quickly with two goals in 12 seconds early in the second period.
After Burmistrov won a face-off, Fischer deflected Chychrun's shot down and under Luongo at 2:03. Fischer, who had a goal in his NHL debut Saturday against the Tampa Bay Lightning, is the first player in Coyotes/Winnipeg Jets history to score in each of his first two games, and did so on his first two shots.
"I was a lot more comfortable in the second game," Fischer said. "The first one is full of emotion, the cameras following you and stuff. Tonight, I played my game and was more confident with the puck. My parents stayed for another game, so I guess we'll keep them around as long as we keep winning."
Right off the ensuing faceoff, Chychrun fed White along the right side. He froze Jakob Kindl with a fake slap shot before putting a wrist shot over Luongo's pad at 2:15 to give Arizona a 2-1 lead.
The Panthers tied it when Sgarbossa ran down a rebound of his own deflected shot and beat a sprawling Smith at 6:34.