Eyebrows were raised earlier this week amid reports Bayern had withdrawn their latest contract offer for the versatile 30-year-old, who has won eight Bundesliga titles and one Champions League trophy during a decade with the club.
The report adds that Kimmich has informed Bayern of Arsenal's interest, along with interest from another unnamed foreign club.
Bayern reportedly offered Kimmich a three-year deal worth around £375,000 a week, which would have been an increase in his current reported wage of £320,000 a week.
Arsenal are in talks over a sensational free signing of Bayern Munich star Joshua Kimmich, according to reports in Germany.
Kimmich had been an ever-present for Bayern across both their Bundesliga and Champions League campaigns, before being forced off with an injury during the recent win over Eintracht Frankfurt.
