Schenn, 22, actually should have had another goal, but the officials ruled he scored it after a highly questionable "inadvertent goaltender's interference" call on Scott Hartnell.
The workmanlike win enabled the Flyers to sweep their three road games in Western Canada (Edmonton, Vancouver, Calgary) for the second time in franchise history. They also did it in 1996.
"I think they believe they can win games, whether you have your best stuff or not," coach Craig Berube said. "Like in Vancouver the other night, we didn't have our best stuff, but we still won. They're finding ways to win and they're a confident team right now."
The Flyers, who play in Colorado on Thursday, started the six-game trip with 4-3 shootout wins in Edmonton and Vancouver.
"Chief had a meeting before the Edmonton game and talked about the way we were approaching away games, and out mindset and the way we play," said Hartnell, referring to Berube by his nickname. "It was a lot of soft play, a lot of turnovers, guys weren't skating."
Berube's message: The Flyers need to play with more of an edge on the road.
For the most part, the Flyers dominated Edmonton and eked out a win, but they were badly outplayed by Vancouver as Steve Mason stole two points with his brilliant goaltending.
Tuesday was their best all-around game on the trip.
On a night when Claude Giroux's line was held pointless for the first time in 10 games, other players stepped up.
The line of Schenn (three points, plus-2), Hartnell (goal, plus-3), and Wayne Simmonds (two assists, plus-2) combined for six points and a plus-7 rating.
"I think we've played pretty solid the last five or six games," Hartnell said. "We've had lots of opportunities. It's nice to contribute and be part of a big win. It can't be 'G' every night. It can't be Vinny [Lecavalier] every night. You have to spread the wealth around."
Berube was much happier with his team's effort - especially on defense - than the one in Vancouver. He got a strong performance from backup goalie Ray Emery (23 saves).
"We did what we had to do to win. I liked our battle in front of our net, and Ray was sharp," Berube said. "Guys blocked shots and played hard."
The Flyers (20-16-4) are on a 7-1-1 run.
"It's a good way to end the calendar year," Emery said.