With the Wild sputtering on offence once again, Jason Zucker scored for Minnesota with 4:19 left in regulation to send it to overtime.
Calgary's Mark Giordano was then given a delay-of-game penalty with 43 seconds to go. The penalty carried over into the extra period, and Parise beat goalie Joey MacDonald for the 4-on-3 winner. Parise's goal was only Minnesota's fourth in its last 41 power-play opportunities.
Alex Tanguay scored for the Flames and MacDonald stopped 28 shots.
There's not much to say. We played like [garbage]. I think every guy in the room should be completely embarrassed about how they played tonight. Every single person. To start a road trip, one of the biggest road trips and have a division rival chasing you down and have a ton on the line, it's ridiculous how we played tonight.
— Anaheim forward Andrew Cogliano after the Ducks' 7-2 loss to the Flames on Wednesday