On Saturday, Real beat Juventus 3-1 in the International International Champions Cup, but numerous questions asked of Vazquez were about off-field matters - primarily about the future of Modric.
Inter's hopes of signing Luka Modric from Real Madrid have received a huge boost after the club's parent company Suning offered to help pay the Croatian's wages.More news: Higuain Reveals Interest From Premier League Giants
But Madrid president Florentino Perez has already attempted to quell any notion of Modric leaving, saying that he will only be sold if a €750 million (£670m/$870m) release clause is met , and the club's manager has now backed those words.
"The president [Florentino Perez] was clear and unequivocal", Lopetegui said. We've enjoyed having him and we'll continue to do so'.
Following the departures of Zinedine Zidane and Cristiano Ronaldo from Madrid, the pair are being tipped to also seek new challenges.More news: Facebook asks US banks for financial info to boost user engagement
Luka Modric is now 32 years old the Los Blancos are looking for a midfielder who can replace him in their starting line up.
"What I told him is ultimately private but what I feel is that he's a player that I love watching and I'm thrilled to have him and ultimately I think he'll be very happy to be on the team".
Modric has been a vital cog in Madrid's midfield over the last few years, helping them to three successive Champions League titles.More news: Andy Murray pulls out of Citi Open and Rogers Cup in Toronto
How could Real Madrid line up next season after the transfer window?