"I think the people made a mistake by saying I'm not a Georgian," he said. "I've always thought about Georgia. I've lived in Georgia, and I don't care what they say."
Under the U.S. Constitution, Walker can live in Texas while campaigning but must officially move to Georgia by election time.
The Heisman winner hopes to win the Republican nomination.
Walker wants to challenge Senator Rafael Warnock, a freshman Democrat.