Underdogs Anaheim won 3-0 away to Calgary to secure a 4-3 series win and move into the second round of the NHL play-offs on Wednesday.
Finland's Teemu Selanne and Ruslan Salei of Belarus scored second-period goals for the Mighty Ducks.
Jeff Friesen wrapped things up with an empty-net goal with 20 seconds remaining in the third period.
"I'm so proud of these guys," said Selanne. "Not many people in the hockey world believed we could win."