The 18-year-old has already been the subject of three unsuccessful bids from the Bavarian outfit, who now have a fourth offer of £35m being weighed up by Chelsea.
Chelsea teenager Callum Hudson-Odoi started the English club's game against Tottenham last night, but his recent first-team appearances will not change his mind about leaving the club, as per ESPN.
The 18-year-old winger is a target for German champions Bayern Munich, who are on the lookout for replacements for Arjen Robben and Franck Ribery.
But Bayern, who trail league leaders Borussia Dortmund by six points, are still chasing their man and Salihamidzic sees Hudson-Odoi as an ideal player for the club.
Bayern Munich have made no secret of their desire to sign Hudson-Odoi, with sporting director Sporting director Hasan Salihamidzic confirming on Wednesday that the club are working on a deal.
The 18-year-old has featured in just one Premier League encounter this season, coming on as a first-half substitute for Pedro during the 2-1 win at Watford on Boxing Day, before being replaced himself late on due to injury.
'It was a general question from him.
'What I can say: We like the player and take a great interest in signing him. Of course, he can develop in Germany as well and don't forget Bayern Munich is also a big club. People have to give him time.
Edwards believes it is a compliment to the quality of players emerging from Chelsea's academy that European giants such as Bayern are prepared to stump up £35m to buy them. I think for him everything is going very well at the moment.
"Maybe we were unlucky because they only had one chance and that was thanks to the linesman, the VAR", Alonso said.