Anthony on Wednesday declined to go into detail about his postgame dustup with Garnett on Monday night.
"That's over with, don't even want to go back to that," Anthony said after practice. "Whatever happened between me and Kevin, that's done. That's settled, it's done and over with. We move on, got Indiana (on Thursday). No disrespect, but I don't wanna keep talking about the same thing and beating a dead horse."
Anthony reiterated that he didn't think he should be suspended after his confrontation with Garnett in the bowels of Madison Square Garden on Monday.
He said he has not spoken to anyone from the league yet.
The NBA is investigating the incident.
"If you just go off the actual facts of what happened, I don't think anything will happen," Anthony said.
After he and Garnett were called for technical fouls for jawing with one another in the closing minutes of Monday's game, Anthony approached Garnett at the Celtics' team bus. Madison Square Garden security, New York City police officers, team security and even Knicks coach Mike Woodson intervened before the incident could escalate.
Anthony said Tuesday that he wanted to have a "one on one conversation" with Garnett after the Boston big man spewed a verbal insult at Anthony.
"It's certain things that you just don't say to men, another man," Anthony said Tuesday. "I felt that he crossed the line. Like I said, we're both at an understanding right now, we handled it the way we handled it. Nobody needs to know what was said behind closed doors. So that situation is handled."
Amar'e Stoudemire said that there are certain lines that players shouldn't cross while trash-talking on the court.
"There's going to be trash talk. As long as it doesn't get personal, then everything's OK," Stoudemire said. "When it becomes personal, that's when things start to become a little extra heated. And no one wants those problems. No one wants the trash talk to continue on after the game of basketball."
Woodson on Tuesday implored Anthony and the rest of the Knicks to conduct themselves more professionally. A day later, he hesitated to single out Anthony for what happened with Garnett.
"Guys, you're singling out one incident. Melo's been great all year. He had a bad game the other night. If he had a great game and we lost that game, we probably wouldn't be saying that," Woodson said of Anthony, who shot 6-for-26 against Boston.
"He's capable of having bad games once in a while. That's OK. I like the stretch that he's been on and if he can continue that stretch, which I think he will, we'll be just fine."
You can follow Ian Begley on Twitter.