Lopez, who has replaced Iker Casillas as first choice at Los Blancos, has been strongly linked with a move to Serie A in recent months.
However, Manuel Garcia Quilon has revealed that Lopez has no plans to seek pastures new.
"Diego has a strong personality," Quilon told Calcio Mercato. "He is calm and focused on his job. I have not spoken to anyone, not Milan, not Napoli. As things stand I believe that Diego López will stay at Real Madrid next season."
Lopez joined Madrid from Sevilla in 2013.