Cuenca made his official debut for Barça B on 4 September 2011, playing the last 29 minutes in a 4–0 away win against FC Cartagena and scoring the last goal of the match. On 19 October he made his first official appearance for the main squad, coming on as a substitute for David Villa in the dying minutes of a 2–0 home victory over FC Viktoria Plzeň in the season's UEFA Champions League. On 25 October 2011, after another game on the bench, Cuenca made his La Liga debut, playing the full 90 minutes and being booked in a 1–0 away win against Granada CF. Four days later, again as a starter, he scored in a 5–0 home rout of RCD Mallorca, assisted by Adriano. On 3 December 2011, Cuenca netted his second league goal, playing the entire 5–0 home win against Levante UD. On 31 January 2012 he signed a contract extension, keeping him at the club until June 2015, and also switched permanently to the first team, being assigned jersey number 23. Cuenca spent the first half of 2012–13 nursing a knee injury. On 31 January 2013, he was loaned to Eredivisie side AFC Ajax until 30 June. He was given the number 11 shirt, which was previously worn by Lorenzo Ebecilio; that jersey, however, was reserved for league and Dutch Cup matches, while he wore number 28 in the team run in the UEFA Europa League, as Ebecilio had already made continental appearances with the club wearing the former number during the campaign. Cuenca made his debut for his new team 10February 2013, against Roda JC Kerkrade at the Amsterdam Arena, assisting Daley Blind in his first ever goal for Ajax as the match ended in a 1–1 draw. However, in March, he suffered another knee injury, being sidelined for a further four months; he underwent surgery in early June, returning to training in October.
Deportivo
On 10 July 2014, Cuenca and Barcelona reached an agreement to terminated the player's contract, due to expire in June 2015, due to technical reasons. Late in the same day, he signed a one-year deal with fellow league team Deportivo de La Coruña. Cuenca made his debut for the club on 23 August 2014, replacing Toché in a 1–2 away loss to Granada, and scored his first goal eight days later, netting a last-minute equalizer in a 2–2 home draw against Rayo Vallecano. The Galicians went on to narrowly avoid relegation, with him starting in 14 of his appearances.
Late career
On 7 August 2015, Cuenca signed a three-year deal with Turkish Süper Lig side Bursaspor. He scored his first competitive goal on 28 October, the game's only in a victory over Sivasspor at the Bursa Atatürk Stadium. On 1 February 2016, Cuenca returned to his country and signed with Granada until the end of the season. In June 2017, after the Andalusians' relegation, he joined Israeli Premier League champions Hapoel Be'er Sheva F.C. on a two-year contract. Cuenca returned to his first senior club Reus ahead of the 2018–19 campaign. After playing the whole pre-season on trial, he could not be registered; Reus claimed that the Liga de Fútbol Profesional rejected his registration due to his low salary, while the organisation claimed that the club had breached the wage limits. In January 2019, Cuenca went back abroad and signed a three-year contract with the option of a fourth at Sagan Tosu in Japan's J1 League. He joined compatriots Fernando Torres and Lluís Carreras, his teammate and manager respectively.
Cuenca is capable of playing as a winger on either flank, and has been likened by some in the sport to fellow former Barcelona teammate Pedro Rodriguez. A 2011 Bleacher Report profile by Andreas Ehrli described him as a promising young prospect, with good all-round abilities and above average dribbling skills, noting that his strengths were his tactical intelligence, technique and positioning, while his weaknesses were his defensive work-rate, physique, ability in the air and lack of end product or "killer instinct."
