The 21-year-old is thought to be a leading target for Arsenal in the January transfer window, although he allegedly harbours doubts over a move to North London.
Speaking to La Nacion, Barone said: "Some English clubs have made contact with Fiorentina but there is no agreement and there can't be if someone [Vlahovic] doesn't talk.
"In any case, we are open to selling, the English clubs want Vlahovic but evidently he's got other ideas - we are ready to negotiate but him and his agent won't talk. There has been no communication from the player and his agent, although I asked them to be clear about their wishes."
Arsenal supposedly want an answer on Vlahovic's future within a few days before they turn their attention to other targets, namely Everton's Dominic Calvert-Lewin.
Juventus and Real Madrid are also thought to be plotting moves for Vlahovic, whose 17 Serie A strikes this season sees him sit level with Ciro Immobile at the top of the scoring charts. body check tags ::