The Uruguayan joined the Gunners last summer for £26m from Serie A side Sampdoria but his latest comments have prompted talk of a swift return to the Italian top flight.
Torreira has been a mainstay in the midfield since Unai Emery took charge alongside Granit Xhaka but talk of a departure after just one season will concern his manager.
Lucas Torreira has thrown doubt on his Arsenal future by suggesting he prefers life in Italy
Torreira told Uruguayan outlet Ovacion : ‘I don’t know if there are many things that I enjoy (in England). I think it was better in Italy. England is a totally different world, a very large country.
‘The language [barrier] has stopped me, to be able to relate with my team-mates and with the people. It is very difficult when you can’t have dialogue.’
He made more than 50 appearances this season as Arsenal endured a tough campaign which saw them end with a 4-1 humbling against London rivals Chelsea in the Europa League final.
Torreira has been a mainstay this season and has made 50 appearances in all competitions
That defeat ensured the club have once again missed out on Champions League football as Emery continues his rebuild of the side.
AC Milan’s interest is believed to stem from the fact that Sampdoria boss Marco Giampaolo is believed to be close to succeeding Gennaro Gattuso in charge at the San Siro.
Giampaolo developed Torreira’s game at Sampdoria and is believed to be keen on a reunion with the Uruguayan this summer as part of his overhaul in Milan.