Born in Madrid, Cuenca joined Alcorcón's youth setup in 2015.[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.[3]
Cuenca played his first professional match on 10 March 2017, starting in a 0–0 away draw against Elche in the Segunda División.[4] At the age of 17 years and 114 days, he became the youngest player to debut for the club.[2]
Barcelona
On 18 July 2017 Cuenca signed a two-year contract with Barcelona's reserve team Barcelona B, still in the second division, for a fee of €400,000.[5] He featured sparingly for the side during his first season, which ended in relegation.
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.[6]
On 15 February 2019, Cuenca renewed his contract with the Catalans until 2021.[7] On 1 September 2019, Cuenca scored the first official goal at the Johan Cruyff Stadium, receiving a commemorative plate.
Villarreal
On 22 September 2020, Barcelona and Villarreal reached an agreement for the transfer of Cuenca, for a fee of €2.5 million plus €4 million in variables; Barça also retained 20% over a future sale.[8] He agreed to a five-year contract with the club, but was immediately loaned to Almería of the second division for a year.[9]
Cuenca scored his first professional goal on 8 November 2020, netting the game's only in an away success over Rayo Vallecano. A regular starter for the Andalusians during the campaign, he scored three times as his side missed out promotion in the play-offs.
On 30 August 2021, Cuenca moved to fellow top-tier side Getafe CF on a one-year loan deal.[10] He made his debut in the category on 13 September in a 1–0 away loss against Elche CF, and scored his first goal on 21 November in a 4–0 home routing of Cádiz CF.
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.[12]
Personal life
Cuenca's younger brother, David, plays for Real Madrid's youth setup.[13]