Network's scripted comedy also stars Selita Ebanks as Nicki's mom, Grace; Wesley Jonathan, who will play her father Vincent; McCarrie McCausland as her brother Jaylen, said The Hollywood Reporter.
Whoopi Goldberg will also guest star as Nicki's neighbor, Miss Martha.
Minaj, 33, who serves as the executive producer on the show, will also appear in it.
The single-camera comedy is inspired by the story of Minaj and her family's immigration from Trinidad in the early 1990s and will explore her growing up years in Queens, New York.