"Thomas Muller (100 worldwide caps), Mats Hummels (70) and Jerome Boateng (76) have played a total of 246 games for Germany and they helped shape an extremely successful decade for the DFB with winning the World Cup in 2014 being an absolute highlight".
Boateng was one of the key figures in Germany's successful World Cup campaign in Brazil five years ago, starting the final at centre-back alongside Hummels.
For the upcoming global break, Low has announced some new plans for the team.
"2019 is a new beginning for the Germany national team", he said.
'I have no understanding for the suggested definitiveness of this decision. But Mats, Jerome and I are able to still play football on a top level.
'It was important for me to personally explain my decision to the players and the FC Bayern management'.
"The young national team players will have the space they need to fully develop".
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'We have had a long and - most of the time - successful career with the DFB and I think it's not a classy way if prefabricated statements from the DFB are published shortly after we learn about the coach's decision. "You have to take responsibility now", Low submitted.
DFB president Reinhard Grindel said now was "the right time" for Low to overhaul his personnel, adding: "I appreciate that Joachim wants to carry on changing the shape of the national side".
Jerome Boateng says he is sad that Germany coach Joachim Low has axed him from the worldwide set-up, and insists he can still play at the highest level.
Mueller, 29, has scored 10 goals at World Cups, winning the golden boot in 2010.
Writing on Twitter, Boateng said: "I'm sad to hear this news, as it was always the best thing of all for me to represent my country". I have always been extremely proud to wear the jersey of the national team and I will never forget summer 2014 in particular. "But I would have obviously wished for a different departure".
"I was young myself and reliant on older players to make room for me".
The 59-year-old Germany boss has been under pressure to make sweeping changes since his side crashed out of last year's World Cup.