 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.