The 29-year-old has given up hope of another international call-up under the current national team management
The 29-year-old was not selected in the squad for the latest World Cup 2014 qualifiers against Kazakhstan on Friday and Tuesday, and now believes hopes of a call-up in the near future are all but lost.
"The statements he has made means I'm not very hopeful. For me it's all right that the issue is forgotten," Kiessling told Bild.
Low has often not picked Kiessling because of his style of play, preferring smaller, more technical players like Mario Gotze and Marco Reus instead.
"Kiessling is playing well in the league, but internationally the air is sometimes thin," Low said recently regarding the suitability of the striker's aerial attributes in the international game.
The Leverkusen star was quick to pour cold water on suggestions he could quit Germany duty following his latest snub.
"Why should I resign? For God's sake. In football anything can happen quite quickly," Kiessling said. "But I do not have much chance with him anymore, which is OK for me."
Kiessling made his debut for the national side in 2007, and has made six appearances for Die Mannschaft.