[3] As a senior, he went 6–4 with a 1.48 ERA and 76 strikeouts to draw late recruiting interest from many top collegiate programs, including Texas and Tennessee.

[4][5] Crochet was selected by the Milwaukee Brewers in the 34th round of the 2017 Major League Baseball draft, but chose not to sign and instead enrolled at Tennessee.

[19] With the 2020 Chicago White Sox, Crochet appeared in five games, not allowing a run in six innings pitched while consistently throwing 100 miles per hour (160 km/h).

[20][21] He came out of the bullpen to strike out both batters he faced in Chicago's 6–4 loss to the Oakland Athletics in the decisive Game 3 of the 2020 American League Wild Card Series before leaving with forearm tightness.

Crochet made 32 starts for the White Sox in 2024, posting a 3.58 ERA with 209 strikeouts across 146 innings pitched, setting a new career-high.

[29] On December 11, 2024, Crochet was traded to the Boston Red Sox in exchange for prospects Kyle Teel, Braden Montgomery, Chase Meidroth and Wikelman González.