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.
You get the right the whistles at the right times, you can leave him out there. He's a beast when it comes to being on the ice. I thought [Saturday] he was a big man. That first period, he did that lateral cut and it was like three bowling pins bounced off him. There's not too many guys that can do that.
— Capitals coach Barry Trotz on Alex Ovechkin, who enters February tied for the NHL lead in goals