Bresee started every game for Clemson as a freshman in 2020, recording 33 tackles, 6.5 tackles for loss and four sacks. In the CFP Semi Finals, Bresee performed 2.5 tackles for loss and a sack in the Tigers loss to Ohio State. At the conclusion of his freshman season, he was named the Atlantic Coast Conference (ACC) Defensive Rookie of the Year, and an All-ACC first team member.[4] In 2021, Bresee suffered an ACL tear, which cut his season short to only four games, but nevertheless earned All-ACC honors.[5] In 2022, Bresee missed several games due to injury and family matters but once again earned All-ACC honors.[5]
Bresee was drafted by the New Orleans Saints with the 29th pick in the first round of the 2023 NFL draft.[8] He recorded his first career half sack in the season opener, a 16–15 win over the Tennessee Titans.[9] His first full sack came three weeks later in a 9–26 loss to the Tampa Bay Buccaneers.[10] As a rooke, he appeared in all 17 games in the 2023 season. He finished with 4.5 sacks, 24 total tackles (12 solo), and six passes defended.[11]