Parrot, the top qualifier on Friday, earned 94.50 points in the final. Niklas Mattsson of Sweden was second at 87.50 and Torgeir Bergrem of Norway third at 83.00. Charles Reid of Tremblant, Que., was fifth at 80.50.
"There were three Canadians in the final and I absolutely had to be in the top two to better my chances to go to the Olympics," said Parrot. "I definitely had an advantage being the top qualifier. I was able to watch the others and I decided to put in my big run that I had been practising all week."
Conditions were a factor on Sunday with a steady snowfall and foggy conditions on the hills north of Quebec City.
"I really like riding when it snows a lot, I'm able to focus better," said Parrot, now with three World Cup medals. gold silver and bronze. "Still the level of competition will be higher at the Games and I'll have to prepare for that hopefully."
Reid was also delighted with his result.
"I've worked so hard to get to this point," he said. "I hope my dream becomes a reality on Tuesday."
The World Cup halfpipe and slopestyle events here were the last opportunity for Canadians to reach their standards for the Sochi Olympics. Riders in those events are to be announced Tuesday.
Matts Kulisek of St-Sauveur, Que., was 11th, Jonathan Versteeg of Vernon, B.C., was 18th, Darcy Sharpe of Comox, B.C., was 20th and Tyler Nicholson of North Bay, Ont., finished 26th.
In women's slopestyle, Brooke Voigt of Fort McMurray, Alta., took sixth in the women's final. It was her best result this season.
"I really needed to come up with a big result," she said. "Making finals is pretty good. Hopefully it's enough to go to Sochi, but everything is still undecided right now."
Christy Prior of New Zealand won the gold medal with 89.75 points followed by Cheryl Maas of the Netherlands at 85.25 and Austria's Anna Gasser in third at 84.25. Voigt earned 37.00 points on her second run in the final.