The 23-year-old is highly-rated by Juve boss Antonio Conte, but concedes he may not get regular first-team action this season.
As a result the Serie A champions are ready to let the 23-year-old leave in order to aid his development.
They are reportedly prepared to sanction a loan deal or a permanent move if a club matches their €10million valuation.
Premier League duo Sunderland and Everton have been linked with a move as well as Italian quartet Inter, Fiorentina, Parma and Cagliari.
Juve director general Beppe Marotta refused to name specific clubs but did confirm a deal is in the offing.
“Marrone has the need and desire to play with regularity in another team,” he told Sky Sport Italia.
“We’ll have to see what the best destination is for him before the market closes, but right now I can’t tell you where that will be.”
Southampton have announced plans for a two-week tour of China as part of their pre-season preparations for the 2018-19 season.