Welcome fellow Georgian (and fellow Richmond county resident!!!).
Yes; in Georgia the statute only requires that "notice" be provided without specifying that this need be in writing. However, it is always good to provide this in writing so you have documentation of such.
What you are attempting to do is terminate a "tenancy at will" (I'm assuming) with your son (as opposed to asking him to leave due to a breach of lease) and in Georgia this does require that you give him 60 days to do so.
Gail