The alleged chanting occurred in the course of the second half of the third-round tie on the Etihad Stadium, which City gained 4-0.
It comes two days after the FA mentioned it was additionally wanting into chanting of an identical nature throughout Manchester United’s defeat of Everton on Friday.
The PA information company understands the governing physique shall be liaising with the membership and related authorities over the matter.
An FA spokesperson mentioned: “We strongly condemn using the time period ‘rent boy’ and we’re decided to drive it out of our sport.
“We proceed to work intently with the Crown Prosecution Service, in addition to the UK Soccer Policing Unit, in relation to using this time period.
“A part of our work on this space has been to supply the related authorities with affect statements from LGBTQ+ supporters, detailing how chants of this nature impacts their expertise and feeling of inclusion at soccer matches, so {that a} clearer stance and understanding on the mantra could be established.
“We stand firmly in opposition to all types of discrimination and we’re striving to make sure our sport is a protected atmosphere for all, which actually embraces range and challenges hateful conduct each on and off the pitch.”
City mentioned in a press release: “Manchester City strongly condemns the behaviour of a minority of followers who engaged in discriminatory chanting at immediately’s match.
“We’re proud to have a good time inclusivity in soccer and ask all followers to hitch us in making a optimistic atmosphere and environment, the place everyone seems to be welcomed, accepted and has a improbable matchday expertise.”
There additionally gave the impression to be some disturbances involving Chelsea followers late within the sport, with police visibly stepping up their presence on the finish the place the visiting supporters have been located.
