Sane, who cost £37m plus add-ons when he joined City from Schalke in August 2016, has yet to start a Premier League game for the champions this season.
Speculation has been raised about the 22-year-old's future at Manchester City, but he will not be heading to the Emirates Stadium, according to Football.London journalist Charles Watts.
Sane came off the bench in Thursday's UEFA Nations League draw against France.
Prélèvement à la source : feu vert du gouvernement français
Cet acompte, appelé en septembre 2019, sera calculé sur la base des derniers revenus connus. Philippe visait à mettre un terme à une séquence de doute ouverte par M.
The winger who missed out on World Cup selection and who has been criticised by senior members of the German squad recently met with coach Joachim Loew on Friday and then sparked a Twitter avalanche when he quit the squad.
Sane was left out of Germany's squad for the World Cup in Russian Federation.
Germany announced on Friday that Sane had left the team for "private reasons" and would not be available for selection against Peru on Sunday.
Sane's departure from the Germany group comes less than a week after team-mate Toni Kroos urged him to improve his body language.
"Sometimes you have the feeling with Leroy's body language that it is all the same, whether we win or lose", Kroos said.