Relegation-threatened Livorno have sacked Domenico Di Carlo after just 88 days in charge and re-appointed Davide Nicola.
Virgil van Dijk claims he knows nothing of interest from English clubs and is keen to prove himself in the Champions League with Celtic.
On Thursday, Galliani was quizzed about Carlos Tevez's move to Juventus by reporters and was also asked about Balotelli's future at the club.
Galliani responded: "Balotelli will not be sold. He's absolutely not on the market.
"We count on him. He's a world star and we will build our future around him."
Milan signed Balotelli from Manchester City for £19million in January.