As a freshman at New Mexico State in 2016, Bradish appeared in 17 games (15 starts) in which he compiled an 8–3 record with a 4.67 ERA, striking out a team-high 82 batters over 86+2⁄3 innings.

[5][6] That summer, he played for the Falmouth Commodores of the Cape Cod Baseball League, and was named an All-Star.

He signed with the Angels and made his professional debut in 2019 with the Inland Empire 66ers of the High–A California League, going 6–7 with a 4.28 ERA over 24 games (18 starts), earning All-Star honors.

[11][12] On December 4, 2019, the Angels traded Bradish, Zach Peek, Isaac Mattson, and Kyle Brnovich to the Baltimore Orioles in exchange for Dylan Bundy.

[20] On April 29, 2022, the Orioles promoted Bradish to the majors to make his MLB debut that night as the starting pitcher versus the Boston Red Sox.

[citation needed] Bradish finished the regular season with a 12-7 record in 30 starts, pitching 168+2⁄3 innings with 168 strikeouts.

[citation needed] On February 15, 2024, general manager Mike Elias announced that Bradish was diagnosed with a sprain in the ulnar collateral ligament of his right elbow and would begin the season on the injured list.