Beckham will join AC Milan on a loan until the end of the season but could then make his move permanent.
“Beckham wants to train and play with Milan,” Galliani told Il Corriere Della Sera.
“We want him. He will arrive in January and we will sign him for the rest of the season.
“It’s not just a shop window deal, it’s a great deal. He will be available for Ancellotti for Serie A and the UEFA Cup.
“Football today is not just about tactics and technical abilities. It’s about full stadiums and sponsors. No-one can beat the 65,000 fans we had on Sunday.
“The stadiums will only fill up with superstars like Beckham who has asked Milan for hospitality, not another club.
“With him, Kaka and Ronaldinho, it will be a dream team.”