The video went viral on social media on Thursday afternoon before the match in Prague against Slavia in the Europa League – and appeared to show a group of fans in a bar singing the derogatory chant.
Kick it Out responded to the video about Liverpool star Salah, who is a muslim, branding the video a disgrace.
They said: “It’s not on the terraces but it is still a disgrace.
“We do not want fans like that anywhere near our game. We will be liaising with Chelsea Football Club to ensure those involved are identified and punished swiftly and effectively.”
Chelsea themselves released a statement on the video, with the club ready to punish anyone found guilty.
“Chelsea FC finds all forms of discriminatory behaviour abhorrent and where there is clear evidence of Chelsea season ticket holders or members involved in such behaviour, we will take the strongest possible action against them,” their statement read.
“Such individuals are an embarrassment to the vast majority of Chelsea supporters who won’t tolerate them in their club.”
Chelsea have also confirmed that three of the six fans were identified and turned away from the stadium in Prague on Thursday evening.
And Liverpool have now waded in, with the club saying the video is ‘unadulterated bigotry’.
The statement read: “The video circulating online, showing vile discriminatory chants being aimed at one of our players, is dangerous and disturbing.
“Already this season, we have seen repulsive discriminatory abuse inside stadiums in England, Europe and across the world; abuse that was captured on devices and put into the public domain. We have also witnessed numerous hateful attacks on social media.
“This behaviour needs to be called out for what it is – unadulterated bigotry.
“Liverpool Football Club believes it is the responsibility of those in positions of authority, following proper process, to act urgently to identify and then punish anyone committing a hate crime.
“There is no place for this behaviour in football, there is no place for it in society. A crime of this nature has more victims than any individual it is aimed at and, as such, collective and decisive action is needed to address it.
“As pertains to this latest incident, the club is working with Merseyside Police to ascertain the facts around this footage with the aim of identifying individuals featuring in it.
“In addition, we are working directly with Chelsea Football Club on the matter. We thank them for their condemnation and a commitment to act urgently to identify any individuals responsible.”
Chelsea’s Europa League campaign has been under the microscope this season due to the behaviour of some of their fans.
The club were investigated earlier this year after alleged racist incidents during their Europa League clash against MOL Vidi in Budapest.
The were also charges related to antisemitic chanting against Tottenham fans – but were eventually dropped.
Chelsea fans were again at the centre of trouble at the end of last year after alleged racist abuse of Manchester City star Raheem Sterling at Stamford Bridge.
Salah and Liverpool face Chelsea in the Premier League on Sunday afternoon at Anfield.