The agreement is designed for three years, according to the press service of the NHL.
Nashville selected the 19-year-old goaltender 11th overall in the 2020 NHL Entry Draft.
In early May 2022, Askarov signed a trial contract until the end of the season with the Nashville farm club, the Milwaukee Admirals.
In the 2021/22 season, Askarov played six games for SKA in the regular season of the Kontinental Hockey League (KHL).
Earlier it was reported that Russian striker Alexander Kisakov signed a rookie contract with the NHL club Buffalo Sabers.