Cast members Richard H. Blake, Matt Bogart, Jared Bradshaw, and Christopher Messina will be featured at the face-off between the New York Rangers and New Jersey Devils.
Dominic Scaglione Jr. will play his final performance on January 26.
Rock of Ages is also one of the Broadway performances slated for Super Bowl Sunday.
The film adaptation of the Broadway musical will be released next year.
The actor-singer is playing 54 Below on Sundays before the Broadway debut of Beautiful — The Carole King Musical, in which he stars.