Many felt that the 30-year-old from California lost to the Filipino when they fought at the MGM Grand in June of last year.
Bradley had a tough time coping with criticism in the wake of his split-decision victory, but he believes that prevailing in a 12-round war with Ruslan Provodnikov in March has silenced his critics.
"Everybody came after me," Bradley told Sky Sports News. "I got laughed at, death threats, it was a terrible time, my kids got stick at school. I'm passed the Pacquiao thing now, I'm on a new road.
"I want this fight for my legacy. Two hall of fame fighters on my resume. I couldn't believe I took that many punches [against Provodnikov] and I couldn't believe I was still standing after the fight.
"It showed to me what type of fighter I am, the heart and determination. It showed the boxing fans what a tough cookie I am."
Bradley said that he has a lot of respect for Marquez, who knocked Pacquiao out in the sixth round of their fourth bout last year.
He added: "I'm a fan of Marquez, I love his style and has a really smart corner. He's strong, he's a smart fighter and great technician.
"One of the best counter-punchers in the game. It's going to be a tough fight for me in there. It's a very interesting fight and fans don't know who is going to win."
The 40-year-old Mexican will head into the contest with a 55-6-1 record.