The English attacker's deal at Old Trafford expires at the end of the current season, and will be able to negotiate with clubs in the new year over a pre-contract agreement.
Rashford has looked close to his best self this season, as he has scored eight goals and assisted three more in 19 appearances in all competitions.
He has done even better on the biggest stage as he has scored three times for England at the World Cup in Qatar.
Al-Khelaifi said: "He's another player who's amazing and for free? To have Rashford for free, every club will run after him.
"Definitely, we spoke before and interest, but the moment was not a good moment for both sides.
"Maybe summer, why not? If he is a free agent, we can talk to him directly.
"But we are not going to talk to him now and let him focus on the World Cup.
"In January, hopefully, we would be interested in talking to him."