He made his senior debut with the reserves on 23 January 2021 by starting in a 0–0 Tercera División home draw against Club Atlético Ibañés, and scored his first goal on 21 February, but in a 3–1 away loss against Calvo Sotelo Puertollano CF.
González made his first team debut for Alba on 30 November 2021, coming on as a second-half substitute for Emiliano Gómez and scoring an extra time winner in a 2–1 home success over Racing de Ferrol, for the season's Copa del Rey.
[3] González made his professional debut on 18 September 2022, replacing Lander Olaetxea late into a 1–0 home loss against SD Ponferradina.
[4] On 27 December, after just 21 minutes in five league matches into the season, he was loaned to Atlético Madrid B until June.
[7] On 31 July 2024, González moved to another reserve team CA Osasuna B also in the third division, on a one-year contract.