Although Solari will take charge of Madrid's La Liga game at Real Valladolid on Sunday, reports in the Spanish media say he could be dismissed next week.
"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.
"Of course I would come back to Spain, I'm always open to new experiences and projects."
Pochettino, who began his coaching career with Espanyol and has taken Spurs to the Champions League quarter-finals and into third place in the Premier League, is one of three names being mentioned in Spain as Madrid's next target.
Liverpool's Juergen Klopp and Jose Mourinho, who was sacked by Manchester United in December and has coached at Real before, are said to be the club's other main choices for the role.
"I take it (Madrid's interest) as something positive, it means someone has noticed that we are doing something right," added the Argentine.
Pochettino also said he looked upon Tottenham striker Harry Kane as one of his children, but would not answer whether Real Madrid could take the England forward and him to Spain next season.
"If I answer that my chairman (Daniel Levy) will get very angry with me for doing this interview. Or perhaps he won't mind," Pochettino said.
"Harry is like my son, he has made his name with us, he's one of the best strikers in the world."
(Reporting by Richard Martin; Editing by Christian Radnedge)
