Quenneville has returned the favor as the Bears prepare to host the Green Bay Packers on Sunday in the NFC Championship Game.
"I exchanged messages with Lovie there," Quenneville said after practice on Thursday. "We're rooting for each other.
"I just appreciated the phone call last year and I wished him good luck. We're behind him and rooting for them."
The Hawks will play the team they beat for the Stanley Cup -- the Philadelphia Flyers -- just hours before the Bears take on the Packers.
"What a game, what a game," Quenneville said. "Perfect time. Our game ends and we get to watch it. I think it's going be very close, very close."
The Hawks play the Flyers at 11:30 a.m. CT. The Bears and Packers kick off at 2 p.m. A short "open locker room" for the media after the game was suggested, in order for Quenneville to get to a television.
"We can accommodate that," he said.
Jesse Rogers covers the Blackhawks for ESPNChicago.com and ESPN 1000.