Toure has two years remaining on his contract but has been heavily linked with a move away from the Etihad this summer.
Inter would appear a logical destination given they are coached by former City boss Roberto Mancini, who brought Toure to the Premier League from Barcelona in 2010.
Asked about the chances of signing the Ivorian, Thohir said in an interview with Indonesian newspaper Tempo: “Chances? I do not know. What is clear is we will continue to try to bring him here.”
Toure’s adviser Dimitri Seluk has cast doubt on the player’s position at City, claiming recently that he was “90 per cent” certain to leave this summer.
The midfielder, who turned 32 on Wednesday, was urged to stay by fans, who sang ‘Happy Birthday’ to him during Sunday’s 6-0 defeat of QPR.
Toure memorably became embroiled in a farcical row last year over how the club celebrated his birthday.