Matthews and Nylander each added an assist.
Muzzin is good to go after suffering a charley horse last Tuesday against the Washington Capitals, while Tavares, finally, looks ready to return after missing seven games with a broken finger.
Auston Matthews and William Nylander scored 30 seconds apart in the third period as the Toronto Maple Leafs defeated the Los Angels Kings 3-1 on Tuesday night.
"No one in here likes to lose", said Quick, one of the holdovers from the Kings' Cup victories in 2012 and 2014 that's had a front-row seat to the franchise's steep decline.
There were no goals in the first period. "The only people that can do something about it is us".
"We like that he's worked hard. he didn't ask to go down, we wanted to get him in games and he's played well", Babcock said of Petan. Andreas Johnsson sent a pass in front that went off Nylander and right to the Leafs' center, who scored his 12th goal of the season.
Martinez found himself down low on Andersen with nine minutes left in regulation, but the defenceman sent his backhand wide.
Alex Iafallo opened the scoring for the visitors on a second-period power play, corralling a puck that had been shot off the end boards before sliding it behind Frederik Andersen.
The game will mark the first time the Leafs have played the Kings since acquiring Muzzin from Los Angeles last January.
But the Leafs had the best chance when Ilya Mikheyev broke in shorthanded only to be denied by Quick before Marner couldn't find the range on the follow-up.
"He has been good for us", Kings coach Todd McLellan said. "We checked real well, did what we had to do. We were just a little short".
That was a welcome sight since Kerfoot missed most of the first period after taking a heavy hit from Jeff Carter.
The home side got a power play later in the period when Tyler Toffoli mugged Dermott, but Tavares somehow scooped his shot up and over the Kings net from in close with Quick at his mercy.
NOTES: Toronto was just 2 for 22 on the man-advantage in seven games without Tavares.
Tavares will reunite with Mitch Marner on the top line and the club is looking for a spark out of that twosome, which has managed just three goals at even strength so far this season.
There was little to differentiate between the Leafs and Los Angeles on Tuesday: L.A. recorded two more shots and actually scored in the power game, unlike Toronto. There was a video tribute and a moment of silence before puck drop for former Leafs general manager and long-time league executive Jim Gregory, who died last week at age 83.