"I stand with Nike ... every day, all day."

It's a huge statement from the biggest athlete in the world -- as Colin and Nike continue to get blowback from people like country star John Rich, UFC star Tim Kennedy and others who have vowed to boycott Nike.

But Tuesday night, as LeBron accepted the Icon 360 Award at Capitale in NYC ... he ended his remarks with a statement on Nike (though he didn't mention Kaepernick by name).

"Last but not least, I stand for anybody that believes in change. I stand for anybody that believes in a positive attitude and a positive matter ... and I stand with Nike every day, all day."

Of course, LeBron is a Nike athlete who reportedly signed a $1 billion lifetime deal with the company. But, it seems he's genuinely proud of the company.

As for the award, the Icon 360 was presented for Bron's contribution to fashion and philanthropy.

During the ceremony, LeBron also thanked his wife and daughters and said, "I believe African-American women are the most powerful women in the world."