Van Persie, 31, was pictured at Rome's Fiumicino airport on Saturday morning, which sparked speculation that the Netherlands international was closing in on a move to the Serie A outfit.
"Van Persie? Haven't you figured this out yet?" Lotito told Corriere dello Sport.
"It's all rubbish! Total bull! [Agent Vincenzo] Morabito is the one trying to spread these rumours."