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Ebbsfleet's Ebou Adams was the subject of alleged racial abuse on Saturday afternoon.
The midfielder made referee Joe Hull aware of a comment made by an Aldershot supporter in the away end at Stonebridge Road.
Mr Hull came across to speak to both managers and stewards at the Swanscombe End ejected an individual during half-time.
Police spoke to Adams after the game as well as representatives from both clubs.
Ebbsfleet boss Daryl McMahon confirmed: "Ebou was racially abused.
"I find it astonishing, in 2018, that people are that narrow-minded and think they can get away with it.
"I thought Gary (Waddock, the Aldershot manager) was excellent in how he responded to it.
"The chap was ejected so we'll take it to the FA now and the police have been informed as well."
The incident happened at the end of the first half with the match level at 1-1.
Adams had been peripheral to that point but he dominated midfield in the second half and helped set up a goal as Ebbsfleet won 3-1.
McMahon said: "We had to slow him down. He was upset at the time and he had to slow himself down.
"The only way to shut them up is to perform and I thought he did in the second half."
Waddock, who spoke to Adams during the break in play, also condemned the abuse.
He said: "There was some comment made to one of their lads which wasn't very pleasant and the player reported it to the referee.
"There's no place for it in the game and I don't want to say any more than that."