Miro Heiskanen made it 3-0 at 13:46 of the second period. It was his second goal in as many games after not scoring in his first 17.
Oettinger was tested 59 seconds into the third period. Foligno was alone in front and put a backhand off the right post. He got the rebound, but Oettinger stuck out his left pad and Foligno could not lift the puck.
"This kid is a great kid, a tremendous competitor, but he works," Stars coach Rick Bowness said. "Good to see him get his first shutout tonight. But it's his work ethic, and he's a great teammate. We're all very happy for him."
Hintz increased the lead to 4-0 at 9:17 with toe drag and backhand for his fifth goal before Radek Faksa scored shorthanded at 19:19 for the 5-0 final.
NOTES: Oettinger (22 years, 78 days) is the second-youngest goalie in Stars/Minnesota North Stars history to get a shutout (Pete LoPresti, 20 years, 261 days, Feb. 8, 1975 and 21 years, 159 days, Oct. 29, 1975). … The win was Dallas' first at home against Columbus since Dec. 15, 2015. … Columbus forward Patrik Laine has gone six games without a point after scoring 10 points (six goals, four assists) in his first 10 games after being acquired in a trade with the Winnipeg Jets on Jan. 23.