The 18 year-old midfielder has signed a new deal, which includes a five-year option that will be triggered when he joins the first team.
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Pitarch qualifies for Morocco and Spain internationally, but the RFEF have made sure the youngster knows he has a pathway with the La Roja.
The youngster tasted senior action in the preseason win against FC Tirol last week and said: "It's the dream every kid has when they're young, and with the best club in the world.
"There's not much more to say . It's an illusion to talk to Xabi Alonso, who was a top player. We watched him on TV as children, and having him in front of us now is a real honour."