Ferdinand's former United team-mate ridiculing Hodgson's insistence that he had been left out for "footballing reasons".
Cole told the Mirror: "If there were footballing reasons for Rio not going I would love to know what they were.
"At the end of the season Rio was fantastic. Centre halfs, especially in their thirties, are going to pick up a few niggles but I think Rio played 30-odd games and played extremely well. And then you turn around and talk about 'footballing reasons'.
"He has been the best footballing centre half for many years so I want to know what those footballing reasons were.
"He is disappointed, naturally. He was looking forward to playing again for England having only lost the captaincy last year. It is very harsh."