The Tottenham attacker has been linked with a move away from north London, and the 27-year-old defender believes he would be a huge success in the Spanish capital.
The Liga outfit is one of many clubs thought to be chasing Bale's signature following a season that saw the Welshman score 21 Premier League goals and win a host of awards.
Having missed out on Champions League football, speculation has been rife that Bale could leave White Hart Lane in the summer window, and the Spanish defender has praised the 23-year-old's free scoring season.
“Gareth Bale is a Real Madrid-quality signing," the Spaniard was quoted as saying by The Sun. "He has had an exceptional season. He can punish any team in the world and has the footballing qualities we look for in Madrid.
“I am sure Madrid will not be the only team that want to sign him — but he is the right mold for us.”
Tottenham remains confident of keeping the club's most prized asset, however, and the club hopes to sign Bale to a new contract in the coming weeks.