Qatar Sports Investment has spent heavily on new players after taking control of the French side in the summer.
“Beckham is extraordinary,” Al-Khelaïfi told L’Equipe.
“Could he join PSG? Frankly I can’t tell you. PSG is attracted by any great players and Beckham is one of them.
“But it will be up to Leonardo and the coach to give their opinion. Did I meet him? No. David Beckham, he goes beyond sport. He is an ambassador, a trademark, he is an example for other people.
“But he is also remains a very good football player, and his age is no problem.
“Could he play very often in first-team? It will be up to Leonardo to determine if the conditions are gathered for him to come or not.
“But as long as we have no agreement with him, and it is not the case, we can’t say anything.
“We are currently satisfied with the players in our group, the team performances and atmosphere. I am not sure we will hire any additional players this winter.”