Palace beat Stoke in the last round while Everton edged out Boreham Wood to reach the last 8 of the historic tournament.
The Eagles have impressed under Patrick Vieira this season and will be eager to continue their cup run.
Meanwhile, Frank Lampard has found the going tough at the Toffees but his side did claim a much needed league win over Newcastle on Thursday.
Palace beat Everton 3-1 at home in the Premier League in December with Conor Gallagher scoring twice.
Crystal Palace v Everton: talkSPORT coverage
This FA Cup quarter-final will take place at Selhurst Park on Sunday, March 20 and will kick off at 12:30pm.
Commentary will come from Ian Danter and former Chelsea defender Scott Minto.
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Crystal Palace v Everton: Team news
Palace have no new injury concerns but will be without James McArthur and Nathan Ferguson again.
Christian Benteke, Luka Milivojevic and James Tomkins are among those who will be hoping to come into their starting line-up.
Everton remain without Yerry Mina and Fabian Delph.
Dominic Calvert-Lewin recently returned from injury so should start in south London.
Crystal Palace v Everton: What has been said?
Palace full-back Nathaniel Clyne: "I don't need any motivation.
"I am back in the side after not playing for mostly the whole of the season, so I need to perform well in every game I play. That is enough motivation in itself.
"This is the club where I came through the academy to play for the first team. To potentially take the club to Wembley would be something special. Hopefully we can get there.
"My body feels good. I feel fit, I have got my match fitness and sharpness back.
"I am feeling good, I am happy to be in the starting line-up and getting a run of games. I am looking to improve and hopefully I can make the position my own now - that's the aim."