Meanwhile, Solari's side saw their season fall apart in the space of a week with back-to-back defeats in El Classico in the Copa del Rey and LaLiga, leaving them 12 points behind rivals Barcelona heading into this weekend.
"I can not reveal what has been said in private, but I will repeat what I said on my first day here, which is that everyone here is just passing through, and the only objective we work towards is the next game", he said.
Solari was around 80 minutes late to his news conference, prompting some to speculate that he had held a discussion with senior players amid talk of an argument between captain Sergio Ramos and president Florentino Perez. I'm the coach and, like everyone, I try to give the best I have.
"The only objective we work towards is the next game".
"My relation with Spain will always be great and I would love to return one day and oversee a brand of football that could win games and excite people", Pochettino told Spanish television network RTVE in an interview on Friday.
Solari, who has a contract through 2021, said he was still committed to seeing out the remaining 12 matches of the campaign but struck a philosophical note. "You can keep doing your job, I will keep doing mine to do the best possible".
Asked about Zidane and Mourinho, Barca head coach Valverde told reporters: "They're good coaches and I have no doubt about that, as they've demonstrated it. The first is Valladolid tomorrow".
Solari could even be removed from the post sooner, as Real Madrid must decide if they want to bring somebody in for the next three months with the possibility of staying on longer or if they want to wait until the summer to make their next coaching hire.