The Metropolitan Police will speak to Aston Villa and Brentford about the events surrounding Ollie Watkins' celebration in Sunday's game.
Villa striker Watkins stood in the net pointing at a Brentford supporter after scoring a decisive late goal in the 2-1 Premier League victory against his former club.
He said later that the fan verbally abused him throughout the game.
"We are aware of the claims," a police spokesperson said.
"Officers will be making contact with officials at Aston Villa and Brentford to find out further details."
Watkins, who joined Villa from Brentford in 2020, has scored 14 goals this season.