Ancelotti was named the new coach of Paris Saint-Germain on a two-and-a-half year deal on Friday, but former England captain Beckham has still not committed to the big-spending Qatar-backed French club.
"It's the club that is discussing this with the player's agent, but no decision has been taken," said Ancelotti, who briefly coached Beckham during a loan spell at AC Milan.
Beckham, whose contract with Los Angeles Galaxy finished on 31 December, "is a committed and professional player, that's all I can say", Ancelotti added.
PSG, who play AC Milan in a friendly in Dubai on Wednesday, earlier trained under the watchful eye of new owner, Qatar's Crown Prince Sheikh Tamim bin Hamad al-Thani, and club president Nasser al-Khelaifi.
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