Les Parisiens boss has stated that he believes a move for the England legend would improve the French league and its status in world football
The Los Angeles Galaxy star has recently been linked with a number of clubs in Europe, and Monaco are believed to be one of the strongest contenders for the 37-year-old's signature.
The Italian tactician, who had previously ruled out signing the player for Les Parisiens, believes that having the midfielder move to Ligue 1 could do great things for the image of French football.
"[Beckham coming to Monaco would be] very good for the image of France," the 53-year-old told L'Equipe.
"I followed his last six months in the MLS," Ancelotti added. "He is still very good and efficient."
The coach had the opportunity to work with the star during his eight years at Milan, where Beckham enjoyed two loan spells in 2009 and 2010, and he went on to praise the midfielder for being "one of the most professional players and serious [players] that [he] had."
But despite Ancelotti's comments, the former England captain has claimed that the first time he heard about the link with Monaco was when a friend asked him about it on his way to training, as reported on Thursday.
Beckham has appeared 117 times for his country during his career, scoring 17 goals.