"The Good Wife" actor will star in the title role of the half-hour series, which is based on New York restaurant owner Florent Morellet.
Written by Patricia Resnick, the project will be directed by Rosemary Rodriguez.
"Florent," according to the industry website, is set in Morellet's Meatpacking District restaurant in the early 1980s, and will "explore the light and dark of that time, as well as the craziness of a place that become a destination for everyone from NY’s literati to the neighborhood hookers and hustlers, the NYPD, and the burgeoning LGBT community."
No date for the premiere has been set.
Cumming has been seen on Broadway in the 1998 and 2014 revivals of Cabaret (Tony Award for the 1998 production), Design for Living, The Threepenny Opera and Macbeth.