Lopetegui assured the Los Blancos supporters that World Cup Golden Ball winner Luka Modric will not be joining Inter Milan.
The Croatia international has been linked with a move to the Italian Club in recent weeks.
The European champions defeated Juventus 3-1 in the International Champions Cup on Saturday night but Modric played no part in the contest.
Reports in Italy have suggested Inter Milan have prepared a bumper salary of £10million for the Croatian playmaker, but Lopetegui says he is going nowhere.
Lopetegui who took over the reins at Real Madrid after Zinedine Zidane resigned after guiding Real Madrid to a third consecutive Champions League Glory.
Lopetegui also confessed his admiration for the former Tottenham midfielder who has been one of the standout performers in the club for the past three seasons.
The manager echoed the words of club president Florentino Perez, who said only an outlandish bid of £660m would persuade Real to sell Modric.
“I talked to him [ Modric ] after the World Cup,” said Lopetegui.”We will talk on the eighth to see if he will be ready on the 15th, but he is a player that I am passionate about, a player I love.
“He is a Real Madrid player and will stay with us.”