The Brazilian club were the main pursuers of the 27-year-old over the summer but were unable to iron out a £35m deal with The Blues.
After the row with manager Roberto Mancini, Tevez is almost certain to bow out when the transfer window re-opens in January, but Corinthians have claimed they will not be submitting a new bid for his services.
"At the moment there are no plans to try and sign him again," general manager Edu told BBC Sport. "I'm starting to think about our new squad for 2012 and I've talked to our coach [Tite] about what we need - but Tevez was not mentioned.
"We are always interested in world-class players like Carlos but you need to analyse if it's right for you at that time to try to sign him or not. We have not spoken to him or his agent."
Tevez is still on suspension at City as the investigation into last month's incident continues.