The 34-year-old's current deal expires in June and Frings, reportedly one of Bremen's highest earners, told newspaper Kreiszeitung Syke that no fresh offer was forthcoming. He said: "I have to accept that. It's a shame, I'd rather have left after a more successful season. It was not about the money. I had no offer to reject or accept, because there weren't any."
Bremen's director of sport Klaus Allofs and coach Thomas Schaaf announced in a press conference that Frings will not be offered a contract extension. "We know that he is disappointed. I can understand it," said Allofs, citing "sporting and economic" reasons for the decision.
Allofs added it was not a matter of money, "because there was no contract offered". However, Frings could still have a future at Bremen as a coach. "Werder Bremen will offer him a job to train as a coach and to acquire the necessary license," said Allofs.
"He will give us his response in the coming days. We will make it possible for him to become a coach, but we will also accept his decision if he decides to continue his career at another club."
Frings' departure will end his second spell at the club he rejoined six years ago after having left in 2002 for Borussia Dortmund. He moved to Bayern Munich in 2004, helping the Bavarians win the Bundesliga title in 2004/05.
He also won 79 caps for Germany and appeared in the 2002 and 2006 FIFA World Cups™. Bremen finished the Bundesliga season in 13th spot after going down 3-2 at Kaiserslautern on Saturday.