Parise scored into an empty net with 2:12 left for the 4-2 final.
Zuccarello tied the score 2-2 at 1:28 of the third, scoring on a breakaway after exiting the penalty box. He has a goal in three consecutive games after not scoring in his first eight with the Wild.
Rickard Rakell and Larsson scored 25 seconds apart early in the second period.
Jakob Silfverberg retrieved the puck in the corner and passed to Sam Steel near the left face-off dot and he fed Rakell coming across the front of the net. Rakell spun and shot, Stalock made a left-pad save, but the puck went off the right post and back out to Rakell, who scored at 1:27 for a 1-0 lead.
Larsson, a defenseman playing in his 69th NHL game, made it 2-0 at 1:52.
Larsson appeared to be looking to pass as he backed up to the left point, but then took a wrist shot that sailed past Stalock, who was screened by Ducks forward Ondrej Kase and Wild defenseman Carson Soucy.
"It's a good feeling," Larsson said. "But, obviously, it would have been nice if we had a win."