Sky Sport says the Gunners have already been in contact with Bayern Munich over the 31-year-old as they bid to bolster their defensive options in January.
Boateng is reportedly keen to leave this month in order to improve his chances of regular first-team football, though Bayern have stated previously they expect him to stay put.
Bayern would be willing to accept an offer in the region of £12.8m (15m euros), which has opened the door for Milan to muscle in on Arsenal's interest.
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