The former West Bromwich Albion boss has admitted that the brain power of his players continues to "surprise" him.
"The players I work with always surprise me with their general knowledge and their intelligence," The Telegraph quotes Hodgson as saying. "They are a lot better at the quizzes that we have than I am, that's for sure.
"You will be very surprised by the intelligence levels of footballers. It would be a mistake to misjudge them, I think footballers are some of the brainiest people I know."
England opened their Euro 2016 qualifying campaign with a 2-0 victory over Switzerland earlier this month.