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 is really special. I had a lot of friends and family here tonight, and for my first [NHL] game in here it was great. I played here as an elementary-school player in the city championships and this was my first time back. It was a lot of fun.
— Toronto native Brandon Pirri after scoring 2 goals for Panthers in win at Maple Leafs on Thursday