Having guided City to FA Cup and Premier League triumphs during his time in England, the Italian tactician is not expected to be out of work for long.
Sampdoria would not appear to be an option at present, as they have Delio Rossi at the helm, but they have refused to rule out a move for Mancini in the future.
The former Italy international spent 15 years with the Genoa-based club during his play days - helping them to the 1992 European Cup final.
"Roberto Mancini as the new Sampdoria is something from a dream world," Garrone told Ansa.
"Dreaming is not wrong, but it still remains a dream.
"For my part, the Sampdoria coach for next season will still be Delio Rossi and I think we'll arrange a new contract with him very soon."