[2] He made his senior debut with the reserves on 12 February 2017, starting in a 1–0 Tercera División home win against FC Villanueva del Pardillo.

On 20 October 2018, Cuenca scored his first goal for the club, netting a last-minute equalizer for Barça B in a 1–1 home draw against Villarreal B in the Segunda División B. Eleven days later he made his first-team debut, starting in a 1–0 away success over Cultural Leonesa in the 2018–19 Copa del Rey.

[7] On 1 September 2019, Cuenca scored the first official goal at the Johan Cruyff Stadium, receiving a commemorative plate.

On 30 August 2021, Cuenca moved to fellow top-tier side Getafe CF on a one-year loan deal.

[11] Due to the isolation of some national team players following the positive COVID-19 test of Sergio Busquets, Spain's under-21 squad were called up for the international friendly against Lithuania on 8 June 2021.