The Polish midfielder was a key player for Ancelotti at the Italian club and it is no surprise that he is tipped to follow the Italian to Merseyside.
It will be interesting to see if Everton make an offer for the midfielder at the end of this season.
Zielinski has been a key player for Napoli and the Italian giants will not want to sell him halfway through the season. Any deal would have to wait until the summer.
If Ancelotti can bring him to Merseyside, it would be a tremendous coup for the Toffees.