"No, no, no, no. Let's nip this in the bud right now. No," Anthony said after the Knicks' morning shootaround.
"I don't know where that came from. I'm tired of hearing it. It came out this morning from I guess an anonymous source. I'm tired of anonymous sources. I don't want to be traded. I don't know where that foolishness came from, so let's put a cap on that and make this the last time I hear about that."
Anthony also denied there is a rift with Mike D'Antoni, saying he supported the coach "100 per cent."
The Knicks have lost six in a row, with Anthony taking much of the blame. The back page of Wednesday's New York Post ran a headline saying "Melo Wants Out!" The trade deadline is Thursday, a little more than a year after the Knicks acquired Anthony from Denver.
But Anthony called the report "nonsense," adding that he's faced adversity throughout his career and "I've never ran from it and I'm not about to pick today to start running from it."
"I've only been here a year," Anthony added. "I don't want to leave right now, so I'm here to stay."
Anthony also said he believes fellow players and team officials prefer he stays, saying he received text messages from teammates asking him about the story and telling him they don't want him to go.
According to the Post, Anthony became so discontent with the Knicks after Monday's loss in Chicago that he told a confidant that he preferred to be dealt. The report said he was unhappy in part because he believed D'Antoni and interim general manager Glen Grunwald do not trust him.
"I don't think that's true at all," forward Amare Stoudemire said. "Melo loves the city of New York, he loves playing for the Knicks. So I don't think that's true at all."
NBA players are fined for making public trade requests, so Anthony couldn't say if he wanted to leave, anyway.
The Knicks have fallen into a tie for the eighth and final playoff spot in the Eastern Conference entering Wednesday's game against Portland. While trying to solve things on the court, they're also dealing with stories about their problems off it, from players' reported disappointment in D'Antoni to Anthony's bad performances and body language.
"You battle against it and I think we're cohesive enough to battle through this, and we expect to do that," D'Antoni said.
D'Antoni and Anthony spoke Wednesday, but both said their focus was on righting the team.
Anthony faced enormous pressure to play well in New York after the Knicks gave up four of their top players to acquire him on Feb. 22, 2011. He is averaging 21.3 points, lowest since his second season, and his 40 per cent shooting is by far his worst.
And the team has performed poorly when he's played. Anthony was sidelined with a groin injury when Jeremy Lin led the Knicks to seven straight wins last month, and the team is just 2-8 since he returned.
Anthony, who heard boos Sunday during a loss to Philadelphia, acknowledged being aware of what was being said about him.
"I'm human at the end of the day. If I say I don't hear it or I don't read it, I'd be lying to you guys," Anthony said. "I do hear it, I do read it. It gets frustrating at times to hear some of the stuff that's being said about me, but at the end of the day what can I do about it? It's a basketball game. I go out there and try to leave it all out there on the basketball court and my ultimate goal is to win basketball games. That's one of the reasons why I came here, why I wanted to come here."