Quarterman grew up in Orange Park, Florida and attended Oakleaf High School. He posted 137 tackles, 8 tackles for loss and 3.5 sacks for the Knights in his junior season. He was rated four-stars and as one of the top 10 inside linebacker recruits in the nation by ESPN, Scout.com, Rivals.com and 247Sports and committed to play college football at the University of Miami during his junior year. As a senior, Quarterman made 101 tackles and was named the Regional Defensive Player of the Year by The Florida Times-Union and played in the All-America Bowl after the end of the season. He finished his high school career with 412 tackles and six sacks.
College career
Quarterman enrolled early at Miami and was named a starter at inside linebacker for the Hurricanes going into his freshman season. He started all 13 Miami's games and finished second on the team with 84 tackles, with 10 going for a loss, and three sacks and was named was named third team All-Atlantic Coast Conference by the league's coaches and honorable mention by the media. Quarteman was also named a freshman All-American by ESPN and Pro Football Focus. As a sophomore, Quarterman was named second team All-ACC after again finishing second on the team in tackles with 83 with seven tackles for loss and 2.5 sacks with five passes broken up. He was named first team All-ACC in his junior season after recording 82 tackles, 14 tackles for loss, six sacks, one interception, two pass breakups, six quarterback hurries, one forced fumbles and one fumble recovery. Following the season Quarterman contemplated forgoing his final season of NCAA eligibility to enter the 2019 NFL Draft but ultimately decided to return to Miami for his senior year. Quarterman was named a preseason All-American by the Associated Press and several other media outlets, as well as to the watchlists for the Butkus and Chuck Bednarik Awards, going into his senior season. Quarterman finished the season with 107 tackles, 15.5 tackles for loss, one sack, and one forced fumble and was again named first team All-ACC.
Professional career
Quarterman was selected in the fourth round of the 2020 NFL Draft by the Jacksonville Jaguars.
