The fan, Sam Green, said he chanted the name of WNBA forward Angel Reese at the forward because he had several rebound opportunities but had yet to make a shot.
“I wasn’t using profanity, and for him to walk 12 feet off the court to come and get in my face like that, it was a little unnerving,” said Sam Green.
The supporter was given a warning by stewards but was allowed to remain in his front-row seat.
“He was talking at first,” said Draymond Green, who was fined $25,000 (£19,000) for “directing obscene language” towards a fan in 2022.
“Then you get a little closer and he didn’t really say much else. But it’s fine. We move on.”
Warriors coach Steve Kerr said he was unaware of what was said during the confrontation.
“As long as it doesn’t escalate,” Kerr said.
“It’s fine to go over and have a discussion. I had no problem with it but it would have been nice if security had got there a little bit earlier.”