The photo is of musician Fela Kuti's nightclub in Lagos, Nigeria. The musical is about the late Afro-beat Nigerian superstar.
Nance's photo also appears on the show's souvenir material.
The producers include Jay-Z and Will and Jada Pinkett Smith.
Their spokesman says they've tried but weren't able to resolve the dispute.
Spokesman Richard Kornberg says they're in the process of replacing the image.