Although he has won titles in Sweden and Denmark, he was largely unsuccessful at the two biggest clubs he has managed, Inter Milan and Liverpool.
And Henchoz, who played under Hodgson for Switzerland, fears that may be his undoing.
He told Drive Time: “He wasn’t a big success at either Inter or Liverpool. When you train with Roy every day, it can be a bit boring as you repeat the same motions.
“I wonder if big players at big clubs are really prepared to do that type of job. At smaller clubs, where players want success, they are more prepared to do the work the way he wants it done.”
Despite those reservations, however, Henchoz does believe Hodgson can lead the Three Lions to glory.
He added: “For me he’s a good choice. He did a tremendous job with Switzerland. Before he took over we had not qualified for a major tournament for more than 40 years, then we qualified for the world Cup in 1994 and then Euro 96.
“We had some average players and were not a great team, but he did a great job tactically, working hard and teaching every player what was expected from them.
“He’s very passionate. He’s on the training pitch, coaching every single day. As a player you can feel he loves what he is doing. He’s got the passion and tries to give that to the players.
“I think he can bring England success. He’s very disciplined and will ask that from the players. They might not play the most beautiful football. Sometimes, especially going forward, some players don’t get the freedom they would like. But they would be hard to beat.
“England can lift a trophy under Hodgson. Tournaments are always difficult and, when you reach semi-final, little details will make the difference. That’s where Roy is an especially good manager, and that’s what makes the difference at the top level.”
