The Midlands club were widely tipped to make a swift return to the Championship following their promotion as champions last season and Mick McCarthy's men sit just one point above the relegation places.
But Hahnemann - signed from Reading in the summer - believes the sound financial footing of the Molineux outfit gives them the advantage over some of their rivals as the survival battle resumes next weekend.
West Ham, Hull City and Portsmouth have widely reported money problems, whereas Bolton, Blackburn and Burnley have small budgets to operate with during the January transfer window.
With McCarthy keen to bring in reinforcements this month, the "steady" running of the club gives the squad much needed peace of mind, according to the American.
He told the Daily Star Sunday: "Wolves are a very stable club and that was one of the reasons I came here.
"Yes, they are a big club in the Midlands but what I really liked about them is the fact that everything seemed so steady.
"Wolves aren't a club who lose tons of players at the end of the season. And they're always bringing in younger ones.
"Everything is super-solid at this club and it's important for the players to have that certainty that everything is going to be there, no matter what.
"If you don't have that, it's just one extra thing for you to worry about. And that does ultimately affect a team."
Hahnemann started the season as second choice keeper behind Welshman Wayne Hennessey but has started the last seven league outings.
And the 37-year-old intends to keep hold of the No.1 shirt in the hope that an extended run in the team will boost his chances of being selected in the USA squad for the World Cup finals in South Africa.
He also admitted that the prospect of facing England - the country he has spent the past 11 years playing in with Fulham, Rochdale and more notably Reading - added extra spice to making it into Bob Bradley's final 23.
"The States have some very good goalkeepers but at least I'm now playing and doing the rights. I'm definitely in the shop window for South Africa," he said.
"The draw against England couldn't have been better. It's absolutely fantastic to be up against the country you've been playing in for the last 11 years. All my USA friends watch the Premier League every weekend.
"You can forget Italy, Spain and Germany - this is it! And that makes the World Cup game all the more juicy."
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