Exit talk has surrounded the Brazil international ever since he arrived in the French capital, goal.com reported.
A record-breaking €222 million (£200m/$262m) transfer took him to Parc des Princes in the summer of 2017, but many saw that move as a stepping stone.
The suggestion was that Neymar wanted to escape the shadow of Lionel Messi at Barcelona and become a talismanic figure in his own right.
Such a standing has been enjoyed at PSG, but rumors regarding another switch are never far away.
The most recent gossip claims that Neymar is actively seeking a transfer after two years in Paris.
Real Madrid is once again being mooted as a potential destination, along with Premier League giant Manchester United.
PSG has offered no indication that it is looking to sell, amid recent claims from all concerned that no parting of ways will be made, but the Ligue 1 champion will not prevent unhappy stars from leaving.
That is the stance being taken by Al-Khelaifi.
He has stopped short of addressing the Neymar speculation directly, but has sought to shed some light on the situation.
“I want players willing to give everything to defend the honor of the jersey and to join the club project,” Al-Khelaifi told France Football.
“Those who do not want that, or do not understand, we will meet and we will talk to each other.
“There are of course contracts to be respected, but the priority now is total membership of our project.
“Nobody forced him to sign here. Nobody pushed him. He came knowingly to join a project.”
Neymar is tied to terms with PSG until 2022.
It would take another sizeable offer to free him from that deal, but Al-Khelaifi suggested that he will seek to move any player on that does not buy into his vision.
He has said of potential departures, “The players are going to have to assume their responsibilities even more than before.
“It has to be completely different. They will have to do more, work more... They are not here to have fun.
“And if they don't agree with this point of view, the doors are open. Ciao!
“I no longer want to have superstar behavior.”