The Mali international joined Palace in the summer of 2015 but turned down a new deal when his three-year contract expired.
However, he has yet to sign elsewhere and has now been linked with a return to Selhurst Park.
Hodgson said: "I can't tell you anything about that.
"What I can tell you is, he was offered a new contract at the end of last season, when of course he was badly injured.
"He missed the whole of the latter part of the season with a nasty injury, that he got when we played West Ham.
"We still offered him a new contract, despite the fact we could not be certain he would be fit enough to start the season - but he turned that down.
"Doug Freedman [Crystal Palace sporting director] has told me that he has now been contacted by the player and his agent, to say that they may have re-thought that and they might be interested.
"Of course, if that is the case, we will review it."