The Croatia international was one of the Serie A giants" most impressive performers amid their slump to a disappointing seventh-place finish last season.
And his showings at the San Siro have seen him heavily linked with a move to England after the summer transfer window opens next month.
* TRANSFER NEWS LIVE: ALL THE BREAKING GOSSIP, DEALS AND RUMOURS *
Premier League champions Chelsea have been touted as a potential destination for Perisic as they prepare to return to European action.
But it is Manchester United whose interest in prising the 28-year-old away from Inter Milan is said to be the strongest.
According to Gianluca Di Marzio, Jose Mourinho has seen a £35m bid for Perisic knocked back.
The transfer guru claims that decision was made to keep incoming boss Luciano Spalletti happy.
The Italian is set to jet out to China today to confirm his appointment with Inter Milan"s investors.
And Perisic is thought to be central to his plans for when he fills the vacant hotseat.
Inter Milan still need to balance their books to avoid Financial Fair Play (FFP) sanctions though.
And Di Marzio says Marcelo Brozovic, Jeison Murillo, Ever Banega and Andrea Ranocchia are therefore up for sale.
