"It's a classic case of beating yourself," Dallas coach Rick Bowness said. "I never thought we were out of the game until we shot ourselves in the foot. Our poor puck management gave them goals. "
The Stars (19-15-12) won their prior four as part of a 6-0-2 stretch, including home wins against the Red Wings on Monday (3-2) and Tuesday (5-2). They are fifth in the eight-team Discover Central Division, two points behind the fourth-place Nashville Predators. The top four teams qualify for the Stanley Cup Playoffs.
"We have to learn from this, because we are playing the same team on Saturday," Dallas forward Radek Faksa said. "… We knew they were going to come at us hard because we beat them at home."
Vrana became the first Red Wings player with a four-goal game since Anthony Mantha did it in a 4-3 win against the Stars on Oct. 6, 2019. Vrana was acquired from the Washington Capitals in a trade for Mantha on April 12.
"Everyone here has been great since Day One," Vrana said. "Obviously, this is a new system and new teammates, and I still have a lot to learn, but it has really clicked so far."
Richard Panik scored, giving the Red Wings (17-25-7) five goals from players they acquired for Mantha.
"When you have a guy who can score like [Vrana], you put a lot of pressure on the other team," Detroit coach Jeff Blashill said. "Every time they pushed back at us, he got us another goal."
Thomas Greiss made 43 saves for the Red Wings.
"He stopped some tough chances in the first period to help us get the 3-0 lead," Blashill said. "They were the better team in the second period, but he made some key saves and then he locked it down at the end."
Anton Khudobin allowed three goals on nine shots for Dallas before being replaced by Jake Oettinger to begin the second period. Oettinger made 10 saves.
"It just didn't seem to be his night," Bowness said of Khudobin.