The Clarets now find themselves without a win in their last 16 league games following their latest setback, a 2-0 defeat to fellow strugglers West Ham at the weekend.
Pressure continues to mount on under-fire boss Parker, with the club heading towards another relegation back to the Championship.
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They take on a Palace side that ended their run of poor form with a 1-0 win against rivals Brighton on Sunday afternoon.
Both sides have some injury concerns to contend with heading into Wednesday night’s encounter, so here's an early look at the team news for both outfits:
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1. Cheick Doucoure (Palace) - out
The midfielder is expected to miss the remainder of the season after being forced to undergo surgery on a knee injury. (Photo by Julian Finney/Getty Images) Photo: Julian Finney
2. Eddie Nketiah (Palace) - out
The striker has missed the last month of action with what Oliver Glasner has described as a strain injury. (Photo by Glyn KIRK / AFP via Getty Images) Photo: GLYN KIRK
3. Zeki Amdouni (Burnley) - out
The forward is closing in on a long-awaited return from an ACL injury, but he won’t make this one. (Photo by Matt McNulty/Getty Images) Photo: Matt McNulty
4. Jordan Beyer (Burnley) - out
The defender is sidelined with a hamstring problem having just recovered from a long-standing knee injury, which has kept him out of action since December 2023. (Photo by Ryan Pierse/Getty Images) Photo: Ryan Pierse