Mantha gave the Golden Knights a 1-0 lead at 17:56 of the second period with a one-timer from the right circle. It was his first goal in his fourth game for Vegas since he was acquired in a trade with the Washington Capitals on March 5.
"It feels good," Mantha said. "Obviously, some pressure off. Now we go."
Sharangovich tied it 1-1 at 4:00 of the third period when his shot from the slot rolled up Hill's stick and in. He has five goals in his past five games.
Coleman gave the Flames a 2-1 lead at 10:06 when he chipped in a centering pass from Nazem Kadri.
The goal came after Wolf made a blocker save on Ivan Barbashev's breakaway at 9:53.
"It feels good, obviously," Wolf said. "That's the game of hockey, right? You get the save at one end and the goal at the other. That kind of happens more often than you think. Pretty pivotal moment in the game where I was just trying to stay as dialed in as I could, and things just worked out perfectly."