There has been much speculation about which players may leave Parkhead in the summer, with Gary Hooper and Victor Wanywama favourites to go.
But Ledley says he has no intention of leaving a club where he has won two league titles in as many seasons with the Glasgow giants.
"There will always be ins and outs in football at every single club," said the Wales international. "We have a fantastic team and I'll be very surprised if everyone stays.
"Everyone has watched us in the Champions League and SPL and there's going to be a lot of interest in the majority of the players.
"But if we can keep it together, we have a fantastic future and Celtic will go forward and hopefully qualify for the Champions League again.
"There's nothing new with my own situation at the moment but I'll sit down near the beginning of next season and try to sort something out.
"Myself, Gary and Kelvin (Wilson) all have a lot of time left on our contracts. But I love it here at Celtic and obviously want to stay.
"I think most of the players do want to stay but you just never know in football. Anything can happen. It would be good to keep this squad together and see what happens."