The 25-year-old scored nine goals and laid on five assists to guide Palace to Premier League safety this season, leading to reported interest from a host of Premier League big fish.
Now, according to 'The Sun', Everton have joined the race for the Ivory Coast international, with Marco Silva reportedly set to make Zaha his number one taget if, as expected, he is named the club's new manager.
Palace are desperate to keep their academy star at the club and are prepared to offer him fresh terms to commit, but they are fearful that his head could be turned by interest from elsewhere.
Zaha has previously had a chance to shine at a top club, joining Manchester United in a £15m move back in 2013, only to return to Selhust Park permanently two years later following a loan spell.