Al-Khelaifi spoke following reports last week in French media of a meeting between Zidane and PSG officials in a fancy Paris hotel.
The 35-year-old defender has not played for PSG since joining the French side after leaving his long-time club Real Madrid in July due to a recurring problem with a calf muscle.
The club has informed that Messi has discomfort in his left hamstring and pain in the knee following a contusion. Notably, Messi came off early in PSG's last Ligue 1 outing against Lille.
The Brazilian has scored just one goal in eight games since the campaign began, and that was a penalty in a 2-1 league win over Lyon.
In total, 21 people were arrested and 17 taken into custody, charged with damage, possession of rockets, and violence or insult or resisting police officers.
The 28-year-old will be unavailable for Ligue 1 games against Lille and Bordeaux and the Champions League match at RB Leipzig on November 3.
The stalemate between the two bitter rivals reduced PSG's lead over Lens at the top of the French league to seven points after 11 rounds.
PSG has needed injury-time goals despite an armada of attacking talent and a huge squad, and produced another late winner at home.
Gaetan Laborde put Rennes ahead on the stroke of halftime after PSG star Lionel Messi had hit the crossbar with a free kick in the 31st minute.
Lionel Messi scores superb first goal for PSG in 2-0 win against Manchester City in Champions League
Lionel Messi's superb first goal for PSG was well worth the wait and delivered a timely reminder of the electric skill that has helped him win a record six Ballon d'Or trophies.
Italy's European Championship star goalkeeper, Gianluigi Donnarumma, made his debut for PSG, whose home fans must wait a while longer to see Lionel Messi at Parc des Princes.
La Liga president Javier Tebas delivered some familiar broadsides on Sept 7 about PSG benefiting from state funding, followed by fresh digs against the club for signing Lionel Messi from Barcelona.
Lionel Messi is set to make his debut for PSG later today as he has been named in the team squad for the upcoming match against Reims.
The match was Real Madrid's last before the summer transfer window closes Tuesday night.
Coach Mauricio Pochettino said Kylian Mbappe had not told him he wanted to leave PSG for Real Madrid.