The 30-year-old enjoyed spells under Hodgson at Viking Stavanger and later Fulham, where he was a key member of the side which reached the Europa League final in 2010.
Hangeland revealed that Hodgson's lengthy training sessions had been considered "boring" by some of his Fulham team-mates but stressed that they soon reaped the rewards on the pitch.
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"Roy's attitude is that individual players should always sacrifice themselves for the good of the team, and that will be his main challenge as England manager," Hangeland told The Guardian.
"His main strength is the way he organises a team. The way he plays is all about the shape of the team, you have to be compact, and he demands that everyone knows his job. At both Viking and Fulham he made a team much stronger than the sum of its parts.
"Some of the lads at Fulham used to say his training sessions were boring because they were so repetitive but after a while we all understood.
"When the hard work starts showing with positive results then you become happy to do whatever the manager wants."The Fulham defender also believes that moulding the current England squad into a coherent unit could be harder for Hodgson that it was in his previous jobs.
"He has some great players to choose from but the job is about moulding them into a team," he continued.
"I'd say that's much harder to do with the England team than it is for a club like Fulham. England have some top players but they don't always play well as a team. If he can achieve that, they will have an outside chance [at Euro 2012].
"He'll be pragmatic and try to get the most he can out of them. It could take some time before they reach their maximum level under Roy but they don't really have time: they have to crack on and see how it goes. That's where he's probably happy to have really good players. It's his job to make them gel."