The 31-year-old Anthony reiterated that he has no plans to exercise his no-trade clause and leave the Knicks.
"There's always some trade (expletive) going (on)," Anthony said Saturday during an interview on Sirius XM NBA Radio. "I'm not going anywhere."
The New York Daily News reported Friday that the Boston Celtics and Cleveland Cavaliers discussed a trade centered on Cavs forward Kevin Love. Those talks involved "very preliminary" discussions with the Knicks about including Anthony in the deal.
"When you're in New York, you're always up for grabs, I'll tell you that. Trades are always up for grabs," Anthony said with a laugh. "It's always, 'Who's next?' There's nothing guaranteed when you're in New York. But I don't pay attention to those rumors.
"I want to win a championship. At this point in my career, that's the only thing that I really care about. But I'm not, I mean, there's nothing out there for me right now. ... I'm not even entertaining no-trade talk right now."
The Knicks (23-32) have lost 10 of 11 games heading into the All-Star break and likely their third straight non-playoff season.
Cavaliers star LeBron James tried to put a stop to the trade rumor involving Anthony and Love.
"It's false. That's the only thing I can look at and see, it's false," James said Saturday after the East's practice in preparation for Sunday's 65th NBA All-Star Game in Toronto. "And that's the last thing I was worrying about right now, and that's trade talks for our team."
The NBA trade deadline is Thursday.