The striker scored 21 goals in 49 appearances for the Nerazzurri last season and has firmly established himself as one of the elite strikers in European football – helping the club to the Europa League final.
“There’s absolutely nothing with Real Madrid, we didn’t speak about it or about Barcelona,” Yaqué told Sky Sport.
“He’s going to stay stay? That’s it. Lautaro stays here at Inter.”
Martinez’s current deal in Italy runs to June 2023 and was signed in July 2018, when Inter paid Racing Club a reported €22.7m for his services and he has swiftly established himself as a star in Italy.
Barcelona’s attack looks likely to be revamped next season with Luis Suarez expected to join Juventus and greater prominence given to Antoine Griezmann and Ousmane Dembele.