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 think that Randy is a very good coach. Our players think that Randy is a very good coach. We think that he's going to get the most out of this group. With the addition of the two assistants, a bit of a different dynamic, we're very comfortable that this is a quality coaching staff that's going to maximize the potential of this team.
— Maple Leafs GM Dave Nonis on head coach Randy Carlyle and his staff