Speculation in England has suggested that Ferdinand was sounded out about the possibility of a summer switch some months back.
The vastly-experienced centre-half is due to be out of contract at Old Trafford at the end of the season and has been linked with moves to various clubs.
He has, however, expressed a desire to stay on at United after helping them to the 2012/13 Premier League title, and Flamengo insist they have no intention of making a move.
Director of football Paulo Pelaipe told Lancenet: "I haven't talked to anybody about it, and the board haven't told me anything on the subject."
Vice-president Wallim Vasconcellos told Radio Tupi: "There is nothing about Rio Ferdinand."
Vasconcellos has also sought to distance Flamengo from rumours claiming that they are preparing a bid to bring Brazil international Cesar back to his homeland - on the back of QPR's relegation out of the Premier League.
He added: "Julio Cesar is a great goalkeeper and could play for any team, but he is not one of our concerns right now."