Parker joined
Greystones United at the age of four, eventually leaving six years later for
Cabinteely. Parker made his senior debut on 8 March 2024, coming on as a substitute in a 2–1 home loss to
Wexford. A month later, he scored his first senior goal in a 2–0 away win over
Treaty United on 26 April 2024. On 4 February 2025,
EFL Championship club
Hull City signed Parker on a two-and-a-half year deal with the option of an additional year. Arriving for an undisclosed fee, Although McCarthy would immediately return to UCD on a short-term loan, In February 2026 he moved on loan to
Carlisle United. ==References==