Floyd, an unarmed black man, had died after a police officer knelt on his neck. His death triggered global outrage with international footballers taking a knee before matches to show support to the cause.
"For me it's just cosmetic - that may ruffle a few feathers. The biggest change needs to be legislative and needs to be the reprogramming of the wider society," Brathwaite said.
"Why is it that we go on a plane and see someone with a massive beard and we think, terrorist? When we see a black guy in the supermarket we automatically think he will shoplift, and as a result have the guards trail him?
"That is a bigger discussion - how we reprogram our mindsets around those sorts of thoughts is a bigger discussion than just taking a knee."
Barbados-born Jofra Archer has emerged as a star pacer for England and Brathwaite said his success will pave the way for many more Archers.
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"There's been talk in the media about the marginalisation of the black cricketer in England. A black player spearheaded that charge and was there at the most important moment to execute and bring the cup home," Brathwaite said, referring to the World Cup final super over which was bowled by Archer.
"His success now provides a pathway for another Jofra Archer and another Jofra Archer," he added.
Many former and current West Indies cricketers, including Test skipper Jason Holder, have opened up against racism in sports following the death of Floyd.
English cricketers and the West Indies team will sport the 'Black Lives Matter' logo on the collars of their shirts during the upcoming "Raise the bat' Test series to protest against racism in sports.
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