[2] Rodríguez signed his first senior contract with the reserve side Spanish giants Real Madrid CF.
[3] He made his debut against Las Rozas CF on 25 August 2019 as a substitute for Juanmi Latasa in the 82nd minute of the game.
Rodríguez came on as a substitute in the 76th minute for Jorge Martín Camuñas and scored during the stoppage time while the team was trailing 1–0.
[6] He played his last match for the club against Pontevedra CF on 1 March 2020 as a substitute for Reinier in the 69th minute of the game.
[16] On 2 August 2024, Rodríguez returned to Spain and moved to Segunda División side Racing de Santander on loan for the 2024–25 season.