Bryzgalov stopped 12 of 13 shots Monday night in relief of Devan Dubnyk in the Oilers' 5-1 loss to the Chicago Blackhawks and played the final 34:08 of the game.
"It wasn't the best way for us to throw him into the fire," Oilers coach Dallas Eakins said. "I thought he went in and played very well."
Bryzgalov was signed earlier this month after the Philadelphia Flyers bought out his contract over the summer.
The 33-year-old, who has also played for the Anaheim Ducks and Phoenix Coyotes, has a career record of 208-149-45 in 426 appearances with a 2.55 goals-against average, .913 save percentage and 30 shutouts.
We never really stopped believing in ourselves. We were hearing a lot of things about our team in the regular season. Seems like we put things back together at the right time and we're back in the finals with this group. We know what we have in this room, we believe in each other, we believe in the organization and it really matter what other people say.
— Patrick Sharp after Blackhawks clinched Western Conference title with Game 7 win vs. Ducks