Nick Ritchie scored the winning goal 3:21 into the third period as Anaheim defeated the Oilers 2-1 in Game 7 to win their second-round series.
Andrew Cogliano also scored and John Gibson made 23 saves for the Ducks, who had lost five consecutive Game 7s.
Anaheim will host the Nashville Predators in Game 1 of the Western Conference final tomorrow night.