The 26-year-old Hoops midfielder, signed from hometown club Cardiff in 2010, has another year left on his deal but has been linked with a move back to the Bluebirds, who will be playing in the Barclays Premier League next season.
However, Ledley is keen to replicate this season's Champions League exploits which saw Neil Lennon's side reach the last-16 of the competition before exiting to Italian giants Juventus.
The Wales international, speaking ahead of Sunday's Clydesdale Bank Premier League clash at Ross County, said: "I don't know anything (about Cardiff). I haven't spoken to my agent, all I can do is concentrate on my football and hopefully stay at Celtic.
"In pre-season I can sit down with my agent and with the people at Celtic and hopefully come to an agreement.
"The majority of players would want to play in the Premier League but you have the opportunity to play in the Champions League at Celtic, the best competition in the world, and the majority of players would want that.
"Champions League games at Celtic Park - it is the best atmosphere I have ever witnessed.
"We had a taste of it this season so hopefully we can do exactly the same next season and prove to everyone again how good a team we are.
"It is going to be a long season, we are back in early for pre-season for the qualifiers again and it is going to be as difficult as last season.
"But hopefully we can do what we did this season and make the Champions League, it would be a fantastic achievement if we could do that."
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