McClaren told Sky Sports News: "(He's tried) to avoid the media circus that would go on and on and on. Imagine the media attention surrounding John Terry and Rio Ferdinand every day, at the hotel, stories coming out in training.
"I think what Roy has had to do is choose between the two of them; he's chosen John Terry.
"I'm sure in an ideal world, without all the controversy around, it he would take both.
"He (Hodgson) is in a lose-lose situation. He's made that decision. It's always going to be controversial but he has had to be strong and he has had to make it.
"The most important thing is when you are together for six weeks in a hotel and you are cocooned within that environment, if you've got anything going on within that squad that hampers the harmony and togetherness that has to be avoided."