The 49-year-old masterminded Swansea’s 5-0 victory over Bradford City in the League Cup final at Wembley on Sunday to land the club’s first major trophy.
With Mourinho expected to leave Madrid in the summer, Laudrup topped a poll of Los Blancos supporters asking who was their preferred manager to replace the Portuguese coach.
Laudrup, who spent two seasons at Madrid during a decorated playing career, openly admits he would like to return to La Liga in the future after previously managing Getafe and Mallorca.
“It’s certain that I will return to Spain, but I don’t know when,” Laudrup told the Daily Mirror.
“It is a pleasure that the fans think that I could be the next Real Madrid manager, we will see what happens in June or July.”
He added: “Spain is like my second home, but I am enjoying my experience in the Premier League.
“In Spain, all of the teams want to play good football but here there are a lot of different styles, it is harder to prepare for games.”