IANAL but wouldn't that depend on the status of his SYG claim when the dust settles on the criminal case? If that's upheld I think Zimmerman would be imune to civil action.
But then with the the narrative the media have reported I doubt any jury at this point can be any more objective than OJ's was. After all Zimmerman is guilty because we need justice for Trayvon.
I don't know about anywhere else but just because your innocent in a criminal trial it doesn't mean Jack in a civil trial. Look at OJ in California, and Google the Martin Lee Anderson case in Fl. The Governor had paid that family off before he criminal trial even started....and they were found not guilty...