The former Liverpool boss was caught on camera phone on the London Tube revealing that the Manchester United player's time in the England set-up is over.
Ferdinand now believes that Hodgson has a personal issue with him and claims that the matter has been poorly handled, according to The Mirror.
The report appears to contradict a recent statement from the FA, which claimed a voicemail apology that Hodgson sent to Ferdinand was accepted.
"Roy has left a personal message on Rio's voicemail as well as texts and calls to representatives apologising to him. We've had a confirmation back from his advisors that apology has been accepted," read the statement.
Ferdinand, 33, has been capped 81 times by England.