Inter are ready to cash in on the Croatian.
Perisic is valued between €30m (£26.8m) and €35m (£31.3m), according to FCInterNews.
West Ham, Leicester and Wolves are debating launching a bid this summer.
However, Arsenal is Perisic's preferred destination should he leave Italy.
The Gunners are said to have spoken with Nelio Lucas, the winger's agent, but are unlikely to submit an official transfer bid unless they bring in funds by selling players.