Earlier, he had said, "I have faith in her."
Zimmerman recently launched a website to warn supporters about groups that falsely claim to be raising funds for his defense and to solicit donations for himself.
"The support has been overwhelming in volume and strength. I thank you all and ask that you permit me the time to respond to each one of you personally," he wrote on the site Tuesday.
He included a quote that he attributed to Edmund Burke: "The only thing necessary for the triumph of evil, is that good men do nothing."
Zimmerman's now-former lawyers and friend Taaffe confirmed the authenticity of the website, which was set up over the weekend.
Fulton said Tuesday that Zimmerman has the right to launch a website, but Martin said he feels Zimmerman is raising money off his son's death.
Crump, the lawyer for Martin's family -- which also has a site raising funds to support its efforts -- said it's unfair Zimmerman remains free to express his views and solicit money.
After the shooting, Sanford police questioned Zimmerman and released him without charges. Authorities have said Zimmerman was not immediately charged because there were no grounds, at the outset, to disprove his account that he'd acted to protect himself.
Thousands of people have converged on Sanford to join in protests calling for Zimmerman's arrest and criticizing the police department's handling of the case.
A marked Sanford police car was shot several times early Tuesday, authorities said. The car was parked in an elementary school parking lot "as a visible deterrent due to tour buses using the school property to park during the day and evening hours," according to Sanford police spokesman Sgt. David Morgenstern. The buses have been frequenting the area since the shooting, Morgenstern said.
The vehicle was unoccupied at the time of the shooting, thought to have been at about 4:30 a.m., police said. Residents called authorities to report shots fired, Morgenstern said.
Glass was shattered and the car's body was pierced. Police were inspecting the vehicle in an evidence processing unit, he said.
The shooting was the first violence reported that may have been related to Martin's death, Morgenstern said. No one was hurt and the shooting is under investigation.
CNN's Martin Savidge contributed to this report.