Zimmerman claims the shooting was in self-defense after Martin attacked him and slammed his head against the sidewalk, according to police.
"We hope for the best for George Zimmerman and we hope for the best for the Martin family," Uhrig said.
Martin's death has triggered a nationwide debate about race in America and Florida's "stand your ground" law, which allows people to use deadly force anywhere they feel a reasonable threat of death or serious injury.
On the night of the shooting, Sanford police questioned Zimmerman and released him without charges. Authorities 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 have converged on Sanford to join in protests calling for Zimmerman's arrest and criticizing the police department's handling of the case.
Watch Local 6 for more on this story.