The midfielder believes his team-mate can triumph in the Spanish capital, but acknowledges it will be hard for the Liga giants to negotiate a deal with Spurs chairman Daniel Levy
The Wales international continues to be the subject of protracted negotiations between the London side and the Spanish giants regarding a potential transfer record move to the Santiago Bernabeu, with Los Blancos president Florentino Perez and Spurs chairman Daniel Levy set for talks in Miami.
And now the Spanish midfielder, who joined the White Hart Lane outfit permanently in January 2012 before going on loan to Almeria last season, has spoken of his belief in Bale's ability to flourish in Carlo Ancelotti's squad.
"It will depend on how he adapts, and other factors, but he has every attribute to triumph at Real Madrid," Falque told radio programme El Larguero.
"He also has a lot of hunger because he still hasn't won the Ballon d'Or, and players like him never lose their ambition.
"I think Madrid is the right club for him because their style of play suits him perfectly, much more than Barcelona's would do."
The former Juventus man went on to note Bale's massive development over the past two campaigns and praised the 24-year-old's attitude despite his rise in stardom.
"When I arrived at Tottenham Bale was a good player, but in the last two years he has improved a lot, especially in his ability to score goals," he continued.
"Bale is a relaxed guy, very independent and very quiet. I don't think fame has affected him very much, he's quite a normal guy, he's not arrogant at all.
"I don't see much of him but he seems more serious now than in the past."Falque also acknowledged, however, that Levy's tough negotiation tactics will make it tough for the Spanish giants to prise the attacker away from White Hart Lane.
He added: "Every time I've gone on loan my agents have negotiated with Daniel Levy and it's not easy at all. Levy believes that Bale is worth that amount of money, and he always puts a high price on his players.
"The club doesn't need to sell Bale to balance the books."