Descarga was born in Irun, Basque Country. After an insignificant stint with CA Osasuna in the second division and a season with neighbours SD Eibar in the same level, he spent eight years with Levante UD, where he would be one of their most influential players as well as captain, helping to two promotions to La Liga. His first match in the competition came on 13 November 2004 in a 0–1 away loss against Deportivo de La Coruña, with the Valencian Community side being relegated on the last matchday.