In April 2015, Puk and a teammate were arrested and charged with third-degree criminal trespass after they climbed a crane inside a marked construction site on Florida's campus.

[10] On April 11, 2018, Puk underwent Tommy John surgery, forcing him to miss the 2018 season.

[12] Puk made his major league debut against the New York Yankees on August 21, retiring one of three batters faced.

[16] In 2021, Puk appeared in 12 games for Oakland, registering an 0-3 record and 6.08 ERA with 16 strikeouts in 13+1⁄3 innings pitched.

After being stretched out as a starter in Spring Training in 2022, Puk returned to the bullpen, appearing in 62 contests for the Athletics.

On February 11, 2023, the Athletics traded Puk to the Miami Marlins in exchange for JJ Bleday.

[22] On July 25, 2024, the Marlins traded Puk to the Arizona Diamondbacks in exchange for Deyvison De Los Santos and Andrew Pintar.