With just two years remaining on his contract, the France international was frequently linked with a switch to the Premier League earlier this year.
Despite continuing his stay at the Bundesliga champions, Coman has been tipped to depart the club before 2022-23 with Bayern keen to avoid losing any more players on free transfers.
Nerlinger told BILD: "I don't think he will stay in Munich. Bayern had a recent tendency to lose players for free.
"But you can't do that in the long run, you have to sell players from time to time if the offer is right. Coman is an excellent player, but given the situation, I think Bayern will consider selling him."