England forward Rashford will be out of contract at Old Trafford following the current campaign, but it remains to be seen if the 25-year-old will sign a new deal.
Rashford had scored eight goals for United so far this season and found the net three times for England to help them reach the quarter-finals of the World Cup in Qatar.
"He's another player that is really amazing," Al-Khelaifi told Sky Sports News. "And for free? To have Rashford for free, every club would run after him, definitely.
"We're not hiding it, we spoke before and (there was) interest, but the moment was not a good moment for both sides. Maybe, summer, why not?
"Today if he's a free agent of course we can talk to him directly, but we are not going to talk to him now.
"Let him focus on the World Cup. Then after in January, hopefully, if we're interested, we will talk to him."