He played college baseball for the North Carolina Tar Heels and made his MLB debut in 2023 with the Dodgers.

Busch attended Simley High School in Inver Grove Heights, Minnesota, where he played football, hockey and baseball.

[7] He batted .636 during the NCAA tournament's Chapel Hill Regional and was named the Most Outstanding Player,[8] helping lead North Carolina to the 2018 College World Series.

[11][12] Prior to the 2019 season, Busch was named a preseason All-American by multiple media outlets, including Perfect Game and Baseball America.

[4] Considered one of the top prospects for the 2019 Major League Baseball draft, Busch was selected by the Los Angeles Dodgers with the 31st overall pick.

[21] Busch appeared in 107 games for the Drillers, hitting .267 with twenty home runs and 67 RBIs, while primarily playing second base.

[33] His first major league hit was a single off of Johan Oviedo of the Pirates, and his first MLB home run was off Gavin Williams of the Cleveland Guardians on August 24.

[34][35] On January 11, 2024, Busch and Yency Almonte were traded to the Chicago Cubs in exchange for Jackson Ferris and Zyhir Hope.