The Kraken are the first expansion team in NHL history to defeat the reigning Stanley Cup champions in its first playoff series.
"I think it's huge for us, for the team, and our confidence as a group, bouncing back from last year, and then obviously for the city of Seattle," Bjorkstrand said. "You feel the excitement there and how much they want to back us up. So yeah, it's fun being a part of."
Seattle will face the Dallas Stars in the Western Conference Second Round. Game 1 is at Dallas on Tuesday (9:30 p.m. ET; ESPN, SN, CBC, TVAS).
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Philipp Grubauer made 33 saves against his former team, and Yanni Gourde had two assists for the Kraken, who are the first wild card from the West.
"Today, it was about winning a playoff series," Kraken coach Dave Hakstol said. "It took a lot of energy out of us, that's for sure. You know what, it gives them their just reward, right? So guys can feel good about that. It continues to bolster the confidence of our group, even though I don't know that that ever has really wavered over the last few months. And like I said, it gives them that checkmark of success in the first playoff series that our franchise has played in."
Mikko Rantanen scored, and Alexandar Georgiev made 25 saves for the Avalanche, who were the No. 1 seed from the Central Division.
"I thought we played a great game tonight," Colorado coach Jared Bednar said. "I'm really proud of this team. Just the way they played, how hard they played all year long. It was pretty impressive what they've overcome. Some years it's a little tougher than others, and this was a tough one."