Rinaudo has been strongly linked with a move to West Ham, whose coach Gianfranco Zola is said to be a long-time admirer of the centre-back.
However, Beppe Accardi insists Napoli are keen to keep the 26-year-old at the Stadio San Paolo.
"I cant give any confirmation but, for his physical characteristics, he is liked a lot in England," he told Radio Marte.
"Already in past years English clubs have been interested in him, but I knew about West Ham from the newspapers.
"It's a pleasure to learn all this but (sporting director Pierpaolo) Marino confirmed to me two days ago that he is a player that Napoli do not intend to let go.
"He told me that a while ago teams asked Napoli for information on the player but the club always repeated that they didn't want to sell him.
Accardi added: "Rinaudo is a player who has not shown his true value.
"He is a player who needs to feel as if he is an integral part of the squad.
"Today he feels more at ease, calm and more sure of his talents."