It was reported that the Gunners had made a £40m offer for Zaha, which was to be paid over five years.
When quizzed on the Arsenal speculation by On Sport, Zaha said recently: "I have no comment on it".
It is also said that Emery would like to offload some current Arsenal defenders with Laurent Koscielny and Shkodran Mustafi the most likely to leave, as the Spaniard has deemed Rob Holding and Sokratis Papastathopoulos the starting pair.
Palace star Wilfried Zaha has hit out at speculation and rumours linking him with a move away from Selhurst Park this Summer.
The 26-year-old, who pledged his worldwide future to Ivory Coast, was asked about a potential move to Arsenal in the mixed zone ahead of the Round of 16 clash against Mali.
Arsenal legend and two-time Premier League victor David Seaman has advised his former club to sign Burnley's Joe Hart or Stoke's Jack Butland as backup Bernd Leno to this summer.
"The only thing that's on my mind right now is trying to win [AFCON]".
Spanish media outlet AS, as quoted by Daily Express, is reporting that Arsenal are in talks with the La Liga giants about signing the 28-year-old.
He replied: "I don't know, we'll see in the future".
"I don't feel we need Zaha at the moment, it's not a position we need to strengthen".