The 25-year-old, who impressed for Poland at Euro 2012, has been without a club since leaving Bremen at the end of the season.
The full-back had a trial period at Stoke City, among others, but thus far he has failed to secure a full-time contract.
"I do not have the same chance as others because of time that I have been out of contract," he told Bild.
"If a trial does not end with my signature on the contract papers, then it is said that I have failed to make it. If there is a real offer dropping in for me, then I would consider it. There is no doubt about it."
Boenisch has nine international caps to his name.