Mike Johnson and Alyn McCauley each scored twice as the Maple Leafs spoiled Calgary's home opener with a 7-3 victory Friday night.
The Leafs are off to a 3-0 start under Quinn, who was hired in June after the team fired Mike Murphy.
"It's still early in the season but it feels a lot better than if our record was 3-0 the other way," Johnson said.
The Leafs stunned the Flames with two goals in the first two minutes of the game. Steve Thomas scored on a breakaway at 1:29, and 29 seconds later Sergei Berezin was set up on a 2-on-1 break by Gary Valk.
"We knew they would be excited for their home opener ... and we managed to catch them running around early and get some guys in behind their defense," Johnson said.
Johnson, who scored 51 points as a rookie last season, scored twice later in the opening period to give Toronto a 4-0 lead.
"It's not a matter of not being ready, we simply overreacted to every situation in the first period," said Flames coach Brian Sutter. "We gave up more 2-on-1s in the first few minutes of this game than we did in our entire first two games."
Felix Potvin made 30 saves in his first start of the season for Toronto.
Jarome Iginla scored twice and Valeri Bure once for the Flames, who hadn't played since opening the season in Tokyo against San Jose last week.
"We got a little too excited," said Calgary goalie Ken Wregget. "We started chasing them around and trying to do too much and in the end, it got a little bit embarrassing."
Johnson made it 3-0 at 9:03 of the first period on a slap shot from the slot. Seven minutes later, he skated around an onrushing Wregget and scored into an open net on a breakaway.
The Flames narrowed the gap to 4-2 in the second period before Tie Domi stopped Calgary's momentum with a deflection of Jason Smith's shot at 13:10.
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