City were knocked out at the last-32 stage on Thursday after losing 3-1 in Naples following a spirited display, with the home side requiring a late strike from Gokhan Inler to secure the victory.
The European exit leaves Swansea free to focus on Premier League survival and Monk is hoping for a positive reaction at the Liberty Stadium before they enjoy a break next weekend, when scheduled league opponents Arsenal are in FA Cup action.
"The idea is to take the disappointment from going out of the competition into Sunday's game," said Monk.
"Hopefully we will get the reaction that we want after our disappointment.
"I will request my players give one last mammoth effort before we get a two-week break."
Despite the upcoming rest period for his players, Monk has not ruled out making a number of changes for the Palace game as he looks to keep his squad fresh.
"I based my selection for the game against Napoli a little bit on the Palace match because you have to," he added.
"As I've said before, it's impossible for me to play the same 11 players every single game in this period.
"We've had a lot of games - with the Palace game it will be seven games in 21 days - which is a lot to take on for a player, physically.
"What I'm asking them to do is very demanding. As a coach you have to bear that in mind."