Calgary Stampeders Montell signed with the
Calgary Stampeders of the
Canadian Football League (CFL) on August 14, 2018. Cozart dressed for 21 games over his first two years in the league as a third-string quarterback, winning the
106th Grey Cup as a rookie. His lone statistic over this time was a single pass completion for 11 yards. After signing a one-year extension for 2020, the CFL season was subsequently cancelled due to the
COVID-19 pandemic and Cozart was not re-signed and became a free agent.
Birmingham Stallions On April 22, 2022, he signed with the
Birmingham Stallions of the
United States Football League. After one week on the active roster while
Alex McGough was injured, Cozart was transferred to the inactive roster on May 6.
Houston Gamblers Cozart was traded to the
Houston Gamblers on December 31, 2022. He re-signed with the Gamblers on September 30, 2023. Following the season, Cozart was diagnosed with
Guillain–Barré syndrome, a rare neurological condition which caused a rapid weight loss and required rehabilitation. Cozart and all other Houston Gamblers players and coaches were all transferred to the
Houston Roughnecks after it was announced that the Gamblers took on the identity of their XFL counterpart, the Roughnecks. He was not part of the roster after the
2024 UFL dispersal draft on January 15, 2024.
Southwest Kansas Storm On January 24, 2025, Cozart signed with the
Southwest Kansas Storm of
Arena Football One. ==Coaching career==