Italian winger Cerci has been strongly linked with a move to the Premier League after making a huge impact at Torino last season, where he scored 13 goals and set up 12 more to help the Granata finish seventh in Serie A,
The 26-year-old, who was a member of Italy's World Cup squad in Brazil, is a reported target of Manchester United and Arsenal.
"I have not spoken to Cerci yet," Torino president Urbano Cairo said to Italian newspaper La Stampa. "Hence, I don't know what his wish is.
"But one thing is certain, I have not received any offers so far. I will do everything I can to keep him here."
Roma recently joined the chase to sign Cerci, who is under contract with the Turin outfit until 2016.
Cairo also confirmed his club intends to keep Matteo Darmian.
Barcelona have reportedly set their eyes on the 24-year-old full-back after his strong performances for Italy at the World Cup.
Darmian made his Italy debut in May and started in all three games for the Azzurri in Brazil.
"He (Darmian) is not for sale," Cairo said. "Since a few years ago, there is more will for players to wear the Granata (Torino) jersey.
"The players have understood that Torino is a club were you can grow."
Darmian is under contract with Toro until June 2017.
Torino will compete in next season's Europa League.