Both Potter and ten Hag condemned the chanting of gay slurs by the United fans.
The FA said it would take action against discrimination.
The FA is determined to drive the term'rent boy' out of the game.
The Crown Prosecution Service, as well as the UK Football Policing Unit, are involved in relation to the use of this term.
The game was chosen as a way to support the anti- discrimination campaign.
The club condemned the language used by some people.
Today is proof that we need to do more to make football a game for everyone.
When asked about the chanting, Potter said it was clear that there was a lot of work to be done.
"I think it doesn't belong in the stands, and I mention stands, whole stadium as well, Raphael Varane was also the target of songs when he went off the pitch injured in the second half," the Dutch coach said.
We all have to stop doing that because it was the same thing when Raphael came out.
The FA statement said that part of their work in this area has been to provide the relevant authorities with impact statements from LGBTQ+ supporters, detailing how chants of this nature affects their experience and feeling of inclusion at football matches.
We are against all forms of discrimination and we want our game to be a safe environment for all.
We will use our influence to drive meaningful change so that our game is for everyone.
The chant used on Saturday was a hate crime because it was a gay slur.
Those found to have used the words could be charged with a crime.
In 2020, it was claimed that a large group of United supporters made anti-gay chants.