They haven't said yet if they will.
That could be more likely, some analysts say, if it appeared Zimmerman was profiting from the case.
A book or movie deal could make Zimmerman more vulnerable to a wrongful death suit, criminal defense attorney Randy Reep told USA Today.
And then there's another case that Zimmerman started, suing NBC Universal over edited versions of a 911 call Zimmerman made.
That lawsuit alleges that NBC deliberately edited an audio tape of his 911 call to make Zimmerman sound racist.
"Because of NBC's deceptive and exploitative manipulations, the public wrongly believes that Zimmerman 'use(d) a racial epithet' while describing Martin during the call to the dispatcher on that fateful night," the suit says.
NBC Universal has disputed the accusations.
"There was no intent to portray Mr. Zimmerman unfairly," the company said last year. "We intend to vigorously defend our position in court."
The lawsuit says Zimmerman is seeking "damages in excess of the jurisdictional limit," but doesn't specify a dollar figure.
Zimmerman's brother says the family is focusing on getting a fresh start. But so far, the verdict hasn't put a stop to debate over the controversial case.
And it's unclear what that could mean for Zimmerman's cash flow.