After being drafted by th Oakland Athletics in the 2016 MLB draft, Puk signed with the team and received a $4,069,200 signing bonus after he was drafted.
He was then assigned to play minor leagues for Vermont Lake Monsters, Stockton Ports, Midland RockHounds, and Las Vegas Aviators.
Puk was subsequently promoted to the major leagues on August 20, 2019, and made his major league debut against the New York Yankees on August 21.
The Athletics traded Puk to the Miami Marlins in exchange for JJ Bleday on February 11, 2023.