The Englishman was officially introduced as a Los Blancos player last week at Real Madrid City, the club’s cutting-edge training ground.
During the ceremony, the full-back impressed fans by delivering his entire speech fluently in Spanish, instantly winning over the Madrid supporters.
Alcaraz told the BBC: "If I meet him one day I'm going to speak with him in Spanish. His Spanish is pretty, pretty good.
"It surprised me when I heard it. It's not easy when you're standing in front of a new club, new president, new teammates, new everyone.
"Speaking another language, and being able to do it like this, respect to him. But he's so serious!"