Chelsea's security staff identified three people in the widely shared video and denied that trio entry to Thursday's clash in Prague.
It is understood that the remaining three people in the video did not attempt to enter Slavia's Sinobo Stadium for Chelsea's 1-0 quarter-final first-leg victory.
Asked about the latest incident of racism in football this season, Klopp made it clear the behaviour should not be tolerated.
"It's disgusting. Another example of something which should not happen. We should not see it as a Chelsea or Liverpool thing," Klopp told reporters on Friday.
"If you do something like that you should not be able to enter a stadium again, from my point of view, for life," he added.
Four Chelsea supporters were suspended by the club for allegedly abusing Raheem Sterling during Manchester City's defeat at Stamford Bridge on December 8.
Chelsea also criticised anti-Semitic chanting by Blues fans during the club's 2-2 Europa League draw at Hungarian side MOL Vidi on December 13.
Klopp believes life bans from stadiums are the only appropriate punishment for anyone found guilty of racism.
"The stronger the reaction from all of us, the more it will help to avoid things like this in the future," he said.
"It is a complete misunderstanding of how life should be -- all parts of racism are that some people think they are more worthy or valuable than others and that's the biggest misunderstanding in the world out there," he said.
"Football is the best example of how people from different races can work together brilliantly.
"Go into any dressing room in the world and you see players sitting next to each other, and nobody cares where you come from or who your parents are.
"Because football is very public we talk a lot about this so I think we pretty much have a strong voice and we have to use that strong voice and say altogether things like this are not allowed to happen again.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)