"Chelsea Football Club is aware of a video clip circulating on social media from Saturday’s fixture against Burnley, which has been taken considerably out of context," an official statement from the club read.
"The subsequent level of abuse and defamatory comments directed towards Conor Gallagher is completely unacceptable. We are proud to be a diverse, inclusive club where people from all cultures, communities and identities feel welcome."
Chelsea boss Mauricio Pochettino added at his latest press conference: "This upset me so much because no one wants to do something like this with this intention. He did really well with both mascots and when you are there, playing football, focusing on many things, as you start a game, sometimes that can happen.
"But people try to find things like this to create a mess. I know Conor, come on, he never has that intention. Conor is a great kid who cares about everything. I hate people who use social media to abuse like this. It is so easy [for them]."