The Bianconeri official says that his side have not discussed the possibility of signing the experienced defender, who is entering the final months of his contract
Italian sources have suggested that the Bianconeri are interested in signing the 36-year-old stopper, whose Milan contract expires at the end of the season.
Andrea Pirlo, who joined Juventus last summer after a decade with the Rossoneri, revealed on Monday that he had talked with Nesta about joining him in Turin, but Marotta says that no official exchanges have taken place.
"Nesta? We have never discussed him," Marotta told reporters.
The former Lazio defender, who joined Milan in 2002, will start for the Rossoneri in Tuesday's Serie A match at Chievo despite suffering from a fever.