Beckham is currently without a club after leaving Los Angeles Galaxy at the end of the Major League Soccer season.
"He called me," Wenger said. "He has asked to come here and to work on his fitness. He has not done anything for a long, long time.
"(It's) purely for fitness. There's no speculation about signing or anything."
It is still to be determined whether, and where, Beckham will continue his own footballing career.
The 37-year-old Londoner has enjoyed a successful career with Manchester United, Real Madrid, LA Galaxy and AC Milan, while also accumulating 115 England caps, a record for an outfield player.
Beckham also played a prominent role in the delegation sent to Singapore which helped to secure the 2012 Olympic and Paralympic Games for London and if he does not continue his football career, there are many avenues for the future.
With Wenger playing down the possibility of Beckham signing on a permanent basis he was asked what benefit there is for Arsenal.
He said: "Nothing. To help somebody. We are open for people who behave well when they come here."
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