The Dreamgirls Tony winner will offer a winter engagement as part of the New York nightspot's Diamond Series.
The Hadestown Tony nominee will play 54 Below.
Annie Tippe directs the world premiere Off-Broadway at Lincoln Center Theater/LCT3.
Christian Borle, J. Harrison Ghee, Adrianna Hicks, and more star in the new musical based on the 1959 film.
The Tony nominee is now playing Cinderella on the Main Stem after originating the role in the Encores production at New York City Center.
Check out red carpet photos and a video of last night's curtain call celebrating the opening of Jordan E. Cooper's comedy December 1.
The work is the culmination of Parks' project writing a play a day throughout the COVID shutdown.
The actor has been listening to the famed singer since he was 3 years old; now Swenson is playing Diamond in A Beautiful Noise.
The new musical features a score by Jake Brunger and Pippa Cleary.