The tie occurred in the battle of the top teams in the Northwest
Division as the Wild came back from an early two-goal deficit.
Defenseman Nick Schultz got back a goal before the end of the period, and the Wild controlled the tempo over the final 45 minutes.
Zholtok, who had not scored a goal on the road this season, got the equalizer midway through a third period that featured just 13 shots.
He got a pass from Antti Laaksonen in the neutral zone, took a couple of strides over the Canucks' blue line and blasted a slap shot that grazed the left goalpost before beating goaltender Dan Cloutier.
Vancouver had all three shots in overtime, but could not get the winner past Dwayne Roloson, who made 20 saves as Minnesota moved to 2-1-1 on a five-game road trip.
Notable deaths of 2014 [PHOTOS]