The 23-year-old former Manchester United winger, who joined the Eagles on a five-and-a-half-year deal following a couple of loan spells, reportedly told the club he was keen on joining Spurs.
But Parish slammed the derisory offer from the North London-side, when he told talkSPORT: "We had a bid from Spurs but £12m [R224-million] – it’s ridiculous. I can’t imagine that they’re serious.
"There’s no chance whatsoever of Wilfried Zaha leaving the club in this transfer window. I can absolutely reassure every Palace fan he is an integral part of our plans.
"We’ve told Spurs that there is really no point bidding for him because he is going nowhere - 100 percent guaranteed."
"We need to convince Wilfried that Palace is the right place for him and that he can succeed here."
He concluded: "I haven’t spoken to the player. The manager and the player might have had a conversation but I’m chairman of the football club.
"I decide who leaves and he’s not leaving. He’ll have to get his head around that."