Togolese striker didn't move to Eastlands for cold, hard cash.
The Frenchman's team travel north on Saturday to face the unbeaten Citizens, for whom Adebayor has been in supreme form, scoring in each of their three Premier League victories so far.
Many Gunners supporters had slammed the striker for his poor form and lack of commitment whilst in north London last season, as well as the alacrity with which he jumped ship when his wealthy new employers came calling, but Wenger thinks such criticism is unfair.
"Adebayor has started the season on fire and we have to put that fire out," Wenger told his club's official website.
"I personally don't think that Adebayor was obsessed by money. I must say that to be fair to him, and we can deal with that.
"We have a very fair financial potential. If you consider the Premier League you cannot say we are one of the bottom clubs financially."
Meanwhile, Wenger went on to express his appreciation of the England national team's success at Wembley last night. The coach is sure that the Three Lions will be one of the main contenders in South Africa next summer.
He added: "England are among the top favorites. They have all the ingredients you need to be among the favorites. They have the confidence and the time to prepare properly.
"This generation of Gerrard, Lampard, Ferdinand and Rooney are getting to the age when they can deliver, and they have a quality manager. It's all there to be successful."
Zack Wilson, Goal.com
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