The 33-year-old, who also spent a season with English outfit Everton, is returning to Germany after a one-and-a-half-year spell at Odense Boldklub
The 33-year-old shot-stopper spent last season with Danish outfit Odense Boldklub but has opted to return to his native Germany to build a home.
"In football you never know what will happen," Wessels told Sport-Bild. "But I am well aware of the consequences of my decision and I know that it will likely mean the end of my career.
"I deliberately opted for the family. I'm only open to clubs for whom I would not have to change my location of Osnabruck."
Wessels, who was capped once by Germany's Under-21s, made six Bundesliga appearances for Bayern over a four-year spell with the first team. He also enjoyed spells abroad with Everton and Basel.