Some Millwall supporters are said to have made racist chants against their striker Lewis Grabban aduring the game against Hereford United at Edgar Street last Tuesday.
The youngster was reported to have stormed down the tunnel and was first on the team bus as the abuse was said to have got to him.
"It is a small minority and it is something that I have to deal with as part of being a footballer," Grabban told the Southwark News.
"It's a bit difficult to deal with. But I have to be strong and able to get on with it. It would of course be better if we all worked together and got behind our players."
A club statement from deputy executive chairman Heather Rabbatts said: "There were comments made of a racist nature towards Lewis Grabban from individuals at the ground on Tuesday night.
"Lewis raised the issue with the manager, who will speak to him privately. The club will support all its players to ensure that they are happy, and safe and free from abuse.
"There is no place for this in football. The club has made a massive improvement in recent year and maintains that any racist abuse is treated with the uttermost seriousness.
"I am sad and disappointed that people with these unacceptable views still attend our matches, but our resolve will never be weakened to rid of them from our game."