DMX, real name Earl Simmons, was reportedly selected out of 15,000 applicants after Zimmerman issued an open challenge for anyone to take him on.
"I am going to beat the living **** out him ... I am breaking every rule in boxing to make sure I **** him right up," DMX apparently said to TMZ when asked about the chance to fight Zimmerman.
The 43-year-old US star then said he would urinate on Zimmerman's face.
The boxing match will be three rounds and further details on the match will be announced at a news conference next Wednesday.
Celebrity boxing promoter Damon Feldman offered Zimmerman money to fight and he agreed without having an opponent selected.
Zimmerman, 30, told Radar Online: "It was my idea. I was actually going to the gym for weight loss and doing boxing-type training for weight loss."
He said the fight will help motivate him to get back in shape, lose weight and also raise money for charity.
Zimmerman said some of the proceeds from the celebrity bout will go to animal rescuers.
In 2013, he was cleared of second-degree murder and manslaughter charges over the killing 17-year-old Trayvon Martin in Florida.
Zimmerman said he opened fire in self-defence in Florida, a state where there is a stand your ground law.
The case sparked a nationwide debate about race and self-defence laws.
Zimmerman has been arrested on domestic violence charges, which were later dropped.
He has also made money by selling paintings, most notably, one he sold on eBay with a winning bid of $100,099.99.
Father-of-12 DMX has had numerous brushes with the law and several feuds with fellow rappers, including Ja Rule and 50 Cent.
(c) Sky News 2014
Original headline: Zimmerman To Fight Rapper DMX In The Ring
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