The woman accused of racially abusing Indigenous Adelaide Crows footballer Eddie Betts by throwing a banana at him during Saturday's showdown game has apologised for her behaviour.

Key points: Woman involved banned indefinitely from any Port games

Woman involved banned indefinitely from any Port games Apology issued over the incident

Apology issued over the incident AFL chief warns of the risk of pack mentality

The Port Adelaide supporter released a statement through the football club on Monday confirming she would take part in the club's cultural awareness program and would accept sanctions to punish her.

The club announced the woman had been "banned indefinitely" from attending any Port Adelaide games in the future.

The fan was filmed throwing the banana at Betts near the end of the Power's loss to hometown rivals at Adelaide Oval.

Betts was celebrating his fifth goal of his 250th milestone AFL match when the incident happened.

The statement said the supporter regretted any embarrassment she had caused the "entire Port Adelaide Football Club community".

"I apologise to Eddie Betts and the Adelaide Football Club as it was never my intention to cause harm or distress to your players or supporters," it read.

"Going to a game of football is meant to be a fun and enjoyable event for all and I apologise for ruining it for so many.

"I regret my momentary lapse of judgement and I did not attend the game with the predetermined attitude of bringing the game into disrepute or to offend anyone."

She said the emotions of the game "got the better of me".

"I will accept the sanctions given to me as a result of this incident, with the strongest understanding that there is no place for this kind of behaviour."

Eddie Betts celebrates with teammates after he kicked a goal during his 250th AFL game. ( Getty Images: Morne de Klerk )

Betts vows to focus on finals

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Port Adelaide's Aboriginal programs manager Paul Vandenbergh said the woman was remorseful.

He said he did not support a life ban.

Betts released a video message late on Monday saying it was sad racism still existed and asked people to talk to their children and others about it.

"It's sad that racism still exists in our game. You know hopefully people can learn from it," he said.

He said football players went out onto the field to play and entertain not to dodge objects thrown by spectators.

"I think I speak for every AFL player out there that, that period, you shouldn't throw anything on the field," Betts said.

Betts thanked his teammates for their support and Port Adelaide for their handling of the situation.

Sorry, this video has expired Banana throwing 'unambiguously racist': McLachlan

"[I need to] find a way to put it aside because we've got finals coming up, we've got West Coast on Friday night — so that's probably one of the main things I've got to focus on now."

AFL chief executive Gillon McLachlan said he was disappointed by the incident but was pleased football fans "called out" the unacceptable behaviour.

He called for calm citing the risk the woman could be demonised for her behaviour.

"Ultimately there's a risk from the pack mentality as well, but ultimately I don't want to distract from people being accountable for what is clearly a racist act," he said.