Since coming to the Big Apple in a blockbuster trade in 2011, Anthony has led the Knicks to three straight playoff appearances, reaching the second round once. Anthony has advanced past the first round just twice in his career.
There are some question marks surrounding Anthony's future in New York. His contract allows him to opt out of the final year of his deal next summer and test free agency.
Anthony said Saturday that he was focused on the upcoming season and declined to discuss his opt-out in detail.
"I haven't even, to be honest with you, thought about anything past today. My mind is not even thinking about ... next offseason right now," Anthony said. "I'm just trying to do what I do this offseason to get right -- work out, train and prepare myself for this season.
"When that time comes, I'll deal with that," he said of next summer. "That's not something I'm thinking about right now."
Anthony will have to leave a significant amount of money on the table if he chooses to opt out of the final year of his contract, worth $23,333,403 in 2014-15.
If he opts out and signs with another team, he can ink a four-year contract worth $95,897,372, according to calculations by ESPN salary-cap expert Larry Coon. If Anthony opts out and re-signs with the Knicks, he can sign a five-year contract worth $129,135,806. That's a difference of $33,238,434.
Those numbers are based on the assumption Anthony, the NBA's reigning scoring champion, signs a max contract.
The Knicks can begin negotiations on an extension with Anthony in February.
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In his Q-and-A with campers Saturday at Queens College, Anthony also talked about his affection for New York.
"I embrace the challenge. I embrace the pressure," he said, adding, "A lot of people have the chance to play here and don't."
MELO IN 'OLYMPIC' SHAPE: Last fall, Anthony said he was in the best shape of his career thanks to a summer spent playing with the United States men's team in London.
On Saturday, Anthony said he's feeling even better than he did last year.
"I'm in better shape now than I was in the Olympics," he said. "I've been doing what I'm supposed to be doing. At this point in time, I feel like I'm in that USA shape right now."
Anthony said the small shoulder tear he suffered late last season is no longer an issue.
"I'm good. My shoulder feels good," he said.
MELO TO CAMPERS: BE ACTIVE! Anthony has been doing camps for kids for the past nine seasons. He says his goal, in part, is to encourage his campers to stay active.
"Nowadays, it's kind of hard to get kids out the house due to the video games and technology, so for me to be able to do a basketball camp, that was a no-brainer," Anthony said, adding, "I never had a camp [growing up in Brooklyn and Baltimore]. I never have been able to go to a camp. I never had anyone in my community come back and do these things, so this is good."
Anthony also spent time Saturday with Nicholas Perez, 11, who is battling cancer. Perez seemed elated to meet Anthony; the two are scheduled to have lunch Sunday.