However, Browett is adamant that the Eagles do not need to part with their 19-year-old attacker.
"I can assure you that Wilfried is not for sale," Browett is quoted as saying by the London Evening Standard.
"We hope that he'll be playing Premier League football next season. For us. Even if that doesn't happen, he's only 19 and learning his trade in surroundings where he is comfortable and happy.
"Wilfried's on a five-year contract and we really don't need the money."
Zaha has made 94 appearances for Palace, scoring 11 goals.