Rodriguez has only one year remaining on his current contract, but Pardez says that he is going nowhere.
"Jese will be staying with us," Pardez told reporters. "He forms part of a brilliant generation and has already shown what he can do with Castilla."
Club president Florentino Perez said earlier this week: "I have a feeling that [assistant coach Zinedine] Zidane wants him to stay with us."
Rodriguez scored five goals in five appearances for Spain at this summer's FIFA Under-20 World Cup.