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.
I remember the first time at Wrigley Field all of us had the long johns, the turtlenecks and the extra equipment because we were afraid of being cold. Halfway through the first period everybody's ripping everything off and we just ended up wearing what we would normally wear for a game at the United Center.
— Chicago Blackhawks forward Patrick Sharp on the 2009 Bridgestone NHL Winter Classic