The Argentine is being shopped by the Red Devils to raise money for their own transfer plans.
However, they are seeking a big fee in excess of the £42M the Naples club have offered so far.
Per 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.