The 82-year-old Scully went to the hospital Thursday night as a precaution after he got up from bed too quickly, fell and hit his head, team spokesman Josh Rawitch said.
Scully expressed his thanks to everyone.
"I apologize for any concern that I caused," he said in a statement.
Scully plans to work Sunday's Dodgers-Indians game in Arizona, his first spring training game this year.
He is starting his 61st season with the team. He has been working on a series of one-year contracts and has said he's not sure what he will do after this season.