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.
It's pretty crazy, but believe me when I say we didn't draft these players with the mindset we had to because they had good hockey-playing dads. It just turned out that way. But we're certainly glad they're a part of our organization.
— Arizona Coyotes director of amateur scouting Tim Bernhardt regarding the coincidence that six of the organization's top prospects are sons of former NHL players