Comic Potential has received several nominations and awards. Janie Dee was nominated for Performance at the Obie Awards, Theatre World Awards, and won the award for her outstanding performance. The show itself was nominated for Outstanding Off-Broadway Play at the Outer Critics Circle Awards. Alan Ayckbourn was nominated for Outstanding Play at the Drama Desk Awards. Additionally, John Lee Beatty was nominated for Outstanding Set Design of a Play, and Bruce Ellman was nominated for Outstanding Sound Design, both at the Drama Desk Awards.