The 32-year-old is unhappy with his treatment in Turkey, but remains the danger man.
The Dutchman has expressed his frustration at being left out of the starting line-up in recent weeks, as covered by the Telegraph, but Kennedy feels he remains a danger.
“We don’t take any positives from talk of van Persie having problems with the coach,” he told the Scotsman.
“Based on what I’ve seen, van Persie had a big impact on the game when he came on (against Besiktas).
“I’d be very surprised if he didn’t start against us on Thursday. He is their best striker. He is 32 now and obviously at the other end of his career. But he is still a top, top player.
“His finish on Sunday night was excellent, he is very calm in front of goal. There is an intelligence there. He’s still got legs and he’s definitely got a football brain. That’s sometimes the most important thing in football,” he added.
Celtic host the Turkish side at Parkhead on Thursday hoping to build on a solid start to their Europa League campaign.
The Hoops were unlucky not to leave the Amsterdam Arena with three points after Emilio Izaguirre’s sending off turned the tide and allowed Ajax to nick a late equaliser.
Home form has always been a strength of the Hoops, and they will need to be at their best if they are to escape a difficult group.
Molde’s surprise victory in Turkey in the first round of fixtures has opened up the group, however, and will give Ronny Deila’s men confidence that they can get one over on the talented Turks.