Drogba has recently been spotted in Barcelona prompting speculation he could leave Chinese club Shanghai Shenhua, who he only just joined a week ago, for the 21-time La Liga champions.
But Rosell has denied any knowledge of Drogba in Barcelona.
"I don't know anything about Drogba," Rosell said on Tuesday.
"If he's here it's because he's here for holidays apart from that I don't know anything else."
Drogba inspired Chelsea to a shock victory over Barcelona in the UEFA Champions League semi-finals last season.
But the 34-year-old's representatives, The Sports PR Company, have backed up Rosell's claims and flatly rejected that Drogba was on the way to Catalonia.
"He will not sign for Barcelona," a representative of The Sports PR Company said.
"What kind of clause would that be?
"Do you really think that Shanghai would accept a clause where he could leave for free?"