Roycroft attended Willowbrook High School in Villa Park, Illinois, graduating in 2015.

[4] On February 9, 2021, Roycroft signed his first professional contract with the Joliet Slammers of the Frontier League.

Roycroft improved his performance the following season, recording a 1.08 ERA across 13 games for the Slammers in the first half of 2022.

[4] He made his MLB debut the following night, striking out 2 batters but allowing a line drive home run to Pete Alonso.

[6][10][11] Roycroft won his first MLB game on June 13, getting the final two outs in the sixth inning against the Pittsburgh Pirates.