Perry got Anaheim's first goal only 19 seconds into the contest and the Ducks were never headed as they improved to 3-0-1 in their last four games.
Perry also scored in the second and third periods and assisted on a pair of tallies by Ryan Getzlaf. Bobby Ryan added a goal and two assists in the one-sided win.
Jonas Hiller stopped 20-of-22 shots for Anaheim.
Brent Burns and Marek Zidlicky scored for Minnesota, which finished a three-game Pacific Division road trip with a 2-1 record.
Nicklas Backstrom was bombed for six goals on 36 Ducks shots in the Wild's setback.
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