Monaco chief executive Tor-Kristian Karlsen has confirmed has confirmed an interest in bringing him to France.
"He is an amazing player, intelligent, with a very good character," said Ranieri.
"He is also a champion. I want to win, and my team too. The more champions we have, the bigger the chances to win are.
"Could you imagine what Beckham could do to a young player like Nampalys Mendy, what he could bring to him?"