The Spain international has been linked with a return to Arsenal on more than one occasion, while Denis Irwin revealed this week that Manchester United are keen to lure the 26-year-old back to England, too.
Fabregas has a contract with Barca until June 2016, but the Blaugrana's vice-president has insisted that they will not keep the midfielder at the club against his will.
"Cesc will only leave the club if he himself wants to move on," Bartomeu said when questioned about Fabregas' future at a fan event in Arenys de Munt.