Calgary scored 4:26 into the game when Sam Bennett's one-timer deflected off Chiasson. Monahan scored on the power play at 8:09 to make it 2-0.
Zucker cut the lead to 2-1 at 12:40 of the second period with his second goal in as many games.
"We followed up with a few good shifts right after [the goal]," Wild forward Zach Parise said. "I think in here we thought, 'Hey, we're going to turn it around,' and it didn't happen."
Monahan scored again on the power play 6:19 into the third period to give the Flames a 3-1 lead when he shot through Troy Brouwer's screen and by Dubnyk.
"It's that time of the year where you don't get as many man-advantages so they are crucial and you've got to find ways of putting the puck in the back of the net, and we did that tonight," Monahan said.
Engelland scored his first goal in 45 games 1:13 later, and Ferland made it 5-1 at 13:47.
"We put ourselves in a position to come back in the third period and that's certainly not how we've been playing third periods when it's a one-goal hockey game," Dubnyk said. "That's not going to get it done."