It was Mrazek's first start since Jan. 30; he missed 31 games after he dislocated his right thumb in a 4-1 win against the Stars. Mrazek has three shutouts in five starts this season.
Jordan Martinook scored for the Hurricanes (25-9-3), who have won five of six against the Stars.
"It felt good to be back. It's been a long journey," Mrazek said. "I think the first period, I was looking for myself there. I was all over the place there in the crease. In the second period, I established myself and I didn't give up many rebounds after that."
Jake Oettinger made 37 saves for Dallas (13-13-10).
Rick Bowness did not coach the Stars in the third period due to NHL COVID-19 protocols.
"Rick has been vaccinated," Dallas general manager Jim Nill said afterward. "We think this is a similar situation -- I know the [Dallas] Mavericks had the same situation with (coach) Rick Carlisle, and there are numerous other people this has happened to -- we think it's a false positive, but protocol, once it is flagged, there are different levels. With the PRC testing ... there are different levels of the infection rate or whatever. He was a very low grade, but it's still positive, and so out of safety concerns, he was pulled. But yes, he has been vaccinated. His first vaccination was back sometime in January. He's had both vaccinations."
Martinook scored the game's only goal 40 seconds into the second period. Vincent Trocheck took a pass through the neutral zone from Brett Pesce and fed Martinook in the slot for his first goal in 25 games.
"I feel like I've been close and kind of fighting it, and a little frustrated, I guess," Martinook said. "I've actually got to give a little credit to my dad. He just said, 'Quit gripping your stick so tight and have fun.'"
