Gossett landed his first professional job after he graduated from high school in a production of One Flew Over the Cuckoo's Nest. He went on to act in a Broadway production of August Wilson's Fences directed by Lloyd Richards, as well as Hal Scott's A Raisin in the Sun and Donald McKayle's The Last Minstrel Show. He also performed in the Negro Ensemble Company's productions of Manhattan Made Me, Sons & Fathers of Sons, A Soldier's Play and Colored People's Time. He has extensive television experience with guest starring roles on Crossing Jordan, NYPD Blue, and Black Angel. In film, Gossett appeared in the Jeff Bridges/Tim Robbins film Arlington Road and the Sandra Bullock movie The Net.
On the October 18, 2021 episode of ABC daytime drama, General Hospital, Gossett made his debut as a mysterious man taking a special interest in former private eye and present club owner Curtis Ashford. This character was subsequently revealed to be Curtis' long lost dad, Marshall Ashford, a character with schizophrenia.
