Klitschko, 33, who holds the WBO, IBF IBO heavyweight belts last fought in June when he beat Ruslan Chagaev with a technical knockout in the ninth round.
“Chambers is clearly the best heavyweight boxer in the United States and is for good reason ranked top,” said Klitschko of the 27-year-old.
“The fight will take place in a gigantic stadium and I am already looking forward to it,” Klitschko said in a statement.
This will not be the first time Klitschko, whose brother Vitaly holds the WBC belt, will be fighting in a football stadium, with his previous bout held in Schalke 04’s soccer stadium in front of 61,000 fans.
“Klitschko may be the favourite but I know what I am capable of and I will take a belt collection back home,” Chambers said.