The Hoops midfielder believes that manager Neil Lennon has done some great business over the years and that the Glaswegians want to keep hold of their best players
The Kenya international has been linked with a transfer to Premier League outfit Southampton, though the 21-year-old revealed he had rejected a deal from the Saints despite their bid being accepted.
Wanyama, who arrived at Celtic from Beerschot in 2011, remains hot property, however, with Everton, Liverpool and Cardiff also interested.
Celtic are 1/66 with BetVictor to win next season's SPL
"I don't think we are a selling club. I just think the gaffer has done some great business over the years," said Ledley.
"He has looked into youth and brought guys in and trained them well. That's what happens in football.
"If people leave, then they leave. It happens at every single club. Hopefully we can keep hold as many players as we can.
"Hopefully the club can sort Victor and Gary out and get them new deals. I know they are both happy at the club and I hope they can stay here for many years to come.
The Hoops have already strengthened their squad this summer with the signings of Portuguese striker Amido Balde and Dutch defender Virgil Van Dijk ahead of next month's Champions League qualifier against Cliftonville.