I don't really know why such a player such as Mane could be having issues with a great club as Bayern Munich, they don't want him any more but why go for someone you know quite alright that it won't take up to a year to get tired of him? Mane is a good player and if Bayern Munich are planning on getting rid of the player I feel he should return back to the EPL. He has better memories over there and he can do better, I wish Chelsea or Arsenal could get his signature now that he can go anywhere he wants, it's going to be a great addition to the any of these teams (Chelsea or Arsenal).
Last season was the worst season for Sadio Mane at Bayern Munich from injury problems to a feud with one of his colleagues. Maybe no one thought that this problem was also an obstacle to the decreased performance he was experiencing. I think even if he stays at Bayern Munich over time he still won't feel comfortable in the squad. Moreover, he probably won't get into Tuchel's concoction of strategy.
The truth that the Premier League will be a place he misses has some truth to it and joining one of those teams could be a great option. However, I don't see that Arsenal or Chelsea will be interested in recruiting him considering he is getting older and the two London teams are currently focusing on overhauling the squad which will all be filled with players under 30 years old.
When Sadio Mane joined Bayern Munich they were expecting to see a player like Lewandowski become a top scorer and since Sadio Mane scored many goals and had a good performance in Liverpool we were right to expect something like that from Sadio Mane but it seems he couldn't show the good performance we wanted to see from him and that's normal to see him even leaving Bayern Munich.