The 24-year-old has been a hit for Villarreal in La Liga this season, scoring 15 goals in 29 games.
Barcelona, Juventus and Napoli are reportedly among the clubs interested in the former Manchester United striker.
“He [Rossi] is a player we want to keep here for many years,” Cordon told Sky Sport Italia.
“Rossi is one of the best players in Europe, and Barcelona always follow the best.
“Villarreal and Rossi want to continue this fantastic relationship. We don’t want to sell our players.”
