"You would have to say it might be over with England for me," the 33-year-old told The Sun newspaper on Saturday. "If I'm not getting picked now, especially when people are out injured, then it's unlikely I will be picked again."
Ferdinand, capped 81 times, has not played in a major tournament finals since the 2006 World Cup but said he would remain available until he stopped playing altogether.
"I must admit I didn't expect 2006 would be my last competition," said Ferdinand.
"I really hoped that I would get 100 caps - but for various reasons it hasn't happened. It's a disappointment but it just shows you can never take anything for granted in football."
Ferdinand was left out of Hodgson's original 23-man squad in what the manager said was a "footballing decision".
Critics have suggested Ferdinand was dropped because of tensions with fellow defender John Terry, who has been selected but faces a court case next month after being charged with racially abusing Ferdinand's brother Anton.
