Arsenal want to sign the 29-year-old on loan with an option to buy, but the Italian side are only interested in a permanent deal according to sky in Italy
Croatia international Perisic signed a new five-year contract in September 2017 to extend his stay with the Italian club until 2022.
However, it is understood he is open to leaving the San Siro after joining from Wolfsburg in 2015.
Perisic has scored three goals and registered five assists in 25 appearances in all competitions this season for Inter, who currently sit third in Serie A.
Arsenal see Perisic as a leading option to add width to Unai Emery‘s squad.
It is understood Inter would be prepared to do business for between £35m-£40m.