According to Sky Sports, Arsenal have opened talks with the Bundesliga champions in a bid to sign the Germany international this month.
The newspaper reports that Bayern are demanding £12.75million fee for the centre-back.
Boateng has made just 15 appearances for Bayern this season.
The 31-year-old’s position at the club is currently under threat from Benjamin Pavard and David Alaba.
Meanwhile, Arsenal manager, Mikel Arteta recently admitted after his side’s Premier League 2-0 victory over Manchester United on Wednesday that the Gunners are keen to bolster their defensive options this January following defender, Calum Chambers’ long-term injury.
Arteta said: “My obligation is to give my opinion on the things we can improve.
“Obviously we have a bad injury with Calum a few days ago that will change our plans at the back.
“The reality is we will not be able to do much. I’m more concerned about getting players back from injury and try to improve the players I have here, get everybody on board and understanding what we’re trying to do.
“And if something extra comes up and we think it is the right opportunity to improve what we have, then let’s do it.”
Arsenal are currently in the 10th position on the Premier League table with 21 points from 27 games.
Affairsofnaija Reports (AON)