Canucks center Brandon Sutter appeared to score on a shorthanded breakaway at 17:16 while down two men, but the goal was overturned after video review showed his backhand hit the cross bar and stayed out.
"A big break," Arizona coach Rick Tocchet said. "That's a big difference if they score shorthanded."
Jokinen tied it 1-1 on a delayed penalty with 16 seconds left in the first period. Vancouver controlled play for 55 seconds with Markstrom pulled for an extra attacker, and Brendan Leipsic made a touch pass from behind the net into the slot for Jokinen, who one-timed it over Kuemper's glove for his first goal since being acquired in a Feb. 26 trade from the Columbus Blue Jackets.
"It's really important, I'm playing for my job next year," said Jokinen, 34, who is on his fourth NHL team this season and scored for the first time since Nov.30. "It's been a frustrating season."