Silva appears likely to remain at San Siro for the foreseeable future, however, as Mirabelli believes that ongoing talk surrounding the 22-year-old is nothing but speculation.
"I know that Andre Silva is going through a difficult time, but he is a very important player for us," he told O Jogo. "We have a special affection for him, he has a lot of talent and we want him to stay with us.
"Of course he's going to be [with us] in January and I'm sure he'll be with us for many, many years."
Silva has yet to get off the mark in 12 Serie A appearances for Milan this term, but he has six goals in six Europa League games since arriving from Porto for £35m.