Perisic, 33, has been one of the key players for Inter this season and his extra-time double won them the Italian Cup against their bitter rivals Juventus. But the Croat has been linked with a move to Tottenham Hotspur where he would reunite with former Inter manager Antonio Conte.
"It's a regret, but he wanted experience in the Premier League," said Inter's CEO Giuseppe Marotta. We were not in a position to be able to present him with a better offer."
Perisic, who scored eight goals and made six assists this season, was reportedly demanding six million euros a season.
Inter are keen, however, to attract the 28-year-old Argentine playmaker Dybala. "Clearly, the hope is that he can play with us," said Marotta who admitted, with a smile, that he did not yet know where the Argentine will play next season.