Bryant told Hill that he would have protested the anthem if he were still playing.
Bryant, who openly criticised US president Donald Trump after his "sons of b******" comments in September about protesting National Football League players, thinks Kaepernick's movement has a place in the NBA.
"I'm sure I would have gotten some flak for it, but that's fine".
"From my experience in the locker room, it doesn't seem like any of the players that I played with certainly would have had an issue with that", Bryant said.
'Colin's message was a very simple one - police brutality needs to stop.
NFL players have protested social justice issues, such as police brutality, since the 2016 season, either kneeling or raising a fist during the national anthem.
President TrumpDonald John TrumpTillerson: Russia already looking to interfere in 2018 midterms Dems pick up deep-red legislative seat in Missouri Speier on Trump's desire for military parade: "We have a Napoleon in the making" MORE threw the issue into the spotlight a year ago when he attacked NFL players who protested during the national anthem, calling for team owners to fire them. "I think we understand this is a free country".
However, despite Bryant's bold proclamations about protesting, if he wanted to mimic Colin Kaepernick's protest he wouldn't have been able to do it in the National Basketball Association. "I think we have the right to peaceful protest", he said during the interview.
Bryant said that's what the American flag stands for, "the ability to voice your opinion".
The NBA sent a memo in September reminding teams of its policy requiring players and coaches to stand during the national anthem. "So everybody getting up in arms about it, they're certainly in their right to do that, as we're certainly in our right to protest - peacefully at that".