Gómez signed with the New York Yankees organization as an international free agent on July 2, 2016.

In 2019, Gómez split the season between the rookie-level Pulaski Yankees and the Single-A Charleston RiverDogs, posting a 4–5 record and 3.99 ERA with 53 strikeouts in 56.1 innings of work.

[4] Gómez was assigned to the Single-A Tampa Tarpons to begin the 2021 season, posting a 3.42 ERA with 29 strikeouts across 9 starts before suffering a torn ulnar collateral ligament, which was repaired with an internal brace surgery in August 2021.

[6] After allowing one run in five innings pitched during spring training in 2023, the Yankees assigned Gómez to Double-A Somerset to begin the 2023 season.

[8] He made his major league debut on September 28, tossing two scoreless innings against the Toronto Blue Jays.