The 22-year-old Wolf has played in five games for the Flames this season, recording one win with a save percentage of .893 and a goals-against average of 3.46.
He spent most of the season with the AHL Wranglers, where he played 28 games with an 18-7 record and a .927 save percentage.
Wolf was selected by the Flames in the seventh round of the 2019 NHL Draft.
The 26-year-old Vladar has played 16 games as a substitute this season, with a save percentage of .888 and a goals-against average of 3.27.
It is unclear how Vladar was injured when he last competed and trained with the team on January 20.
Vladar began his career with the Boston Bruins before being traded to the Flames in exchange for a second-round pick in 2021. He signed a two-year contract extension with the Flames in October 2022 worth $4.4 million and has one season remaining before being signed as a free agent.
The Flames face the New York Islanders on Saturday afternoon. Catch all the action on Sportsnet or Sportsnet+ at 1:00 p.m. ET / 11:00 a.m. MT.