The 34-year old Bayer Leverkusen midfielder has been told by the German Football Federation (DFB) that he will no longer be considered for national team selection but was offered a final match with Die Mannschaft to honour him.
Ballack turned down the proposed friendly with Brazil, calling it a 'farce', but DFB president Theo Zwanziger says the offer still stands.
"Michael Ballack has earned an honourable farewell, despite what has happened (in the past days). What Low offered him was an honest offer," said Zwanziger in a column to be published on Wednesday in Sport Bild magazine.
Zwanziger continued: "But we do not bear grudges. The DFB door remains open for him. I think it is a great gesture for the long-time Germany captain to say goodbye to the team and fans in a classic match against Brazil.
"Michael Ballack obviously thought he still had a shot at playing in next year's Euro (in Poland and Ukraine), possibly even as team captain. It is only logical that the decision of the coach is painful."