Olsson believed Hodgson can get the best out of the Three Lions squad at Euro 2012.
Olsson has played under Hodgson at West Brom.
“The way England played against France is very similar to the way Roy Hodgson set the team up at West Brom,” said Olsson.
“It’s an organised team, they defend well and are good on the counter-attack with the pace they have upfront from (Alex) Oxlade-Chamberlain, (Danny) Welbeck and (Theo) Walcott.
“Roy is a top, top coach. I really enjoyed the time under him at West Brom. He is experienced and is good at inspiring players, and he is a very nice man as well.”
He added: “That is important, that you connect with someone you are working with on a personal level as well and have that respect for him.
“That respect will make you go those extra yards for him and I’m sure the England players will feel the same.”