Milan officials are talking with the Beckham camp about the possibility of prising the former Manchester United man away from the Los Angeles Galaxy for a short stint.
Milan expect Beckham to join them on loan this winter, at which time the 33-year-old would be available for both Serie A and UEFA Cup fixtures.
Ancelotti said: "For me it will be a pleasure. Beckham is a serious athlete, a great professional.
"If he is available to play with us for four months we will be very happy.
"If he is available to play for Milan, he will be evidently available to play in Italy and in Europe."
Milan expect Beckham's proposed move to bring more supporters through the San Siro turnstiles.
Vice-president Adriano Galliani told acmilan.com: "Beckham will most likely bring more fans rather than fewer ones to the stadium."
And sports business expert Professor Simon Chadwick, commenting on behalf of Weber Shandwick Sport, said: "Brand Beckham is still a global phenomenon and even in these difficult economic times, his star appeal in parts of
the world such as the Middle East and Asia will see AC Milan netting up to £10million, just for a short stay.
"Many of the world's finest footballers have represented the Rossoneri, but Beckham is in his own league when it comes to global impact."A