28, has impressed in a central role for the Eagles this season and is on course for his best ever goalscoring campaign.
He already has eight goals and two assists in just 14 matches – his previous best being the ten he scored in 2018-19.
His latest goal came in the 1-1 draw with Leicester thanks to a brilliant volleyed finish.
Milan see Zaha as a great addition to a squad that could potentially end Juventus’ nine-year supremacy in Serie A.
The Rossoneri are said to have been impressed with his switch to the centre and his goal record, especially given the relative lack of service he has received.
Christian Benteke, on three, is the only other Palace player with more than one Premier League goal this season, although Eberechi Eze has starred since arriving.
They are not concerned with his age, instead seeing a player in his prime and ready to contribute immediately.
AC Milan view Ivory Coast international Zaha as the missing piece of the puzzle, but while interest from the Italian club is strong, any potential deal is in its very early stages.