Morrell was a member of the Louisiana State Senate for District 3 from 2008 to 2020, and briefly served in the Louisiana House of Representatives from 2006 to 2008 representing District 97 to fill the unexpired term of his father, Arthur Morrell. He was re-elected to the House in 2007 and served until 2008, before running for the State Senate. He was elected to the Senate in a special election held on December 6, 2008. He served until 2020.[1][2]
In 2021, Morrell won a seat on the New Orleans City Council representing the Division 2 at-large seat. He succeed Donna Glapion. Morrell faced fellow Democrats Kristin Palmer and Jared Brossett in the November 13, 2021 election for a seat on the City Council, and was elected with an outright majority of 50.7% against Palmer's 31.7% and Brossett's 11.1%. He was sworn in on January 10, 2022.[3]