Al-Qaq is a product of the youth academies of the American clubs PSA Stars and
NC Fusion. In 2020 he committed to college at
University of North Carolina at Chapel Hill, and joined their collegiate team
Tar Heels, where he scored 6 goals in 47 appearances. In 2021, he had a short stint with
USL League Two side
Tobacco Road FC. In 2023, he returned to the USL League Two on another short stint with
Wake FC. On 18 February 2025, he signed a professional one-year contract with
North Carolina FC in the
USL Championship. On January 22, 2026,
USL Championship expansion club
Sporting Club Jacksonville, commonly known as Sporting JAX, announced Al-Qaq had joined their inaugural roster. ==International career==