The Argentine is being shopped by the Red Devils to raise money for their own transfer plans.
However, they are demanding a large fee above the £42m the Naples club have offered so far.
According to the Italian newspaper Corriere dello Sport, Garnacho and Conte have already spoken.
The Italian coach has assured the winger that he has a starting place in his team.
Napoli already have ex-United stars Romelu Lukaku and Scott McTominay on their books.
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