The re-emerging French powerhouse has recently been credited with an interest in the former Real Madrid and Manchester United man, who is set to leave LA Galaxy at the end of the MLS season.
And when quizzed about whether the midfielder would pitch up at Stade Louis II at some point during the January transfer window, the Italian coach was enthusiastic about the prospect.
"About Beckham, I read and heard the same thing as you in the media," Ranieri told reporters. "Beckham is a great player, but I don't know more about it and if I knew something I would say nothing to the media.
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