He cannot just move on his own, even if you already have a home in Alabama.
When someone is on parole in Georgia, they are still under supervision. Moving to another state requires formal approval through the Interstate Compact (the agreement that allows supervision to transfer between states).
What has to happen first:
What they look at:
Important:
How long it takes:
Best step:
Have him speak directly with his parole officer and start the transfer process the right way.
Bottom line
Yes, he can move to Alabama, but only after both states approve it. Doing it without permission will create serious problems.