Talk of Zaha leaving Selhurst Park has become common practice each summer, with Tottenham and Arsenal amongst the clubs linked to the Ivory Coast international.
But new Palace boss Vieira hopes the 28-year-old stays for what he views is an exciting period for the club.
Speaking to Sky Sports News, Vieira said: "I'm aware about Wilfried [Zaha, his situation] in the last couple of years but we had a really good conversation and I'm looking forward to working with him.
"He's one of the most talented players in this league and we don't want to lose one of our best players.
"All the players are smart enough to see what the club is trying to build and where the club want to go - we've made some really exciting young player signings and I think that shows the direction the football club wants to take.
"I hope Wilfried will be part of that and I am looking forward to working with him and trying to take Palace as high as we can."
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