The Koreans were responsible for Uzbekistan not qualifying for the 2014 Fifa World Cup in Brazil by beating them 1-0 in the penultimate qualifier in Seoul, in June 2013.
Kasimov is insistent that they would get payback.
"We promise to beat Korea," Kasimov told media.
"We always think about losing to Korea in the World Cup qualifiers and I think the players will do their best.
"It will be an interesting game.
"I am happy with them [players]. If we play like this in all the games, we will reach a high level," he added.
Uzbekistan beat Saudi Arabia 3-1 in Melbourne on Sunday, while the Koreans beat Australia 1-0 to reach the quarter-finals.
Korea Republic will be the slight favourites going into the game as they are ranked 69th in the Fifa rankings just above Uzbekistan, who are ranked 71.