**Second half**
The Eagles introduced Borna Sosa from the bench at the break and the substitute enjoyed the opening chance of the second period.
Palace worked the ball to the full-back, though his low effort was drilled wide of the mark from the edge of the box.
Isak continued to threaten as Cody Gakpo's ball through the centre of the visiting defence almost released the striker in once more.
On the hour, Liverpool were forced into their first change of the afternoon, with Salah being replaced by Jeremie Frimpong due to injury.
The Reds continued to push forward and Dominik Szoboszlai's ball in from the left byline was the next to cause havoc in the area as Palace scrambled the free ball clear from the feet of Isak.
With a little under 20 minutes remaining, however, Palace reduced the deficit through Munoz.
Woodman came to block an initial chance inside the area and was left injured as a result, leaving the full-back to lift the ball from the right into an empty net unchallenged.
Palace pushed on in search of a leveller after they netted and almost had one with five minutes remaining in the match.
Substitute Jorgen Strand Larsen raced clear and clipped a shot past the onrushing Woodman, who had darted from his line to close the angle.
The striker, however, saw his effort hit the inside of the post and roll back across the line before being cleared away from danger.
There was time for Liverpool to secure all three points in injury time, though, as Wirtz produced a piledriving finish into the back of the net.
The playmaker was in the right place at the right time to connect with a Mac Allister touch back in the area following a ball in, which put the exclamation point on victory in the final seconds.
**Attendance:** 60,314