Andrew Mangiapane pushed the lead to 2-0 at 14:33 of the first, scoring on a backhand after getting the rebound of Gudbranson's initial shot.
"We played with some urgency in the first five minutes of the game -- I think we outshot them 5-0 -- and in the second period," Blashill said. "We needed that urgency for all 60 minutes."
Detroit outshot Calgary 14-4 in the second period but struggled to create dangerous chances. That included two opportunities on the power play, during which the Red Wings didn't register a shot on goal.
"We scored on the power play in the first two games, but everyone in this league looks at tape, so you can't expect the same things to keep working," Red Wings captain Dylan Larkin said. "We have the players in this lineup to be good on the power play, but we have to do that on the ice."
The Flames dominated possession for much of the third period, limiting the Red Wings to one shot in the first 13 minutes, and Matthew Tkachuk shot into an empty net at 17:42 for the 3-0 final.
"We knew the Red Wings hadn't lost in regulation, but we were pretty good tonight," Sutter said.
NOTES:Forward Tyler Bertuzzi, who leads Detroit with five goals, will not play against the Canadiens in Montreal on Saturday because he is not vaccinated against COVID-19. … Markstrom's shutout was his ninth in the NHL.