NBC's Hardball Talk reports that Uggla will now become a free agent.
Uggla was designated for assignment by the Giants on Aug. 1 after a short stint with the team. He began 2014 with the Atlanta Braves before being released by the club on July 18 after hitting .162 in 48 games.
The 34-year-old began his Giants stint at Triple-A and was recalled on July 25. He played in four games for San Francisco, going hitless in 11 at-bats.
As a veteran player of five or more years, Uggla is allowed to reject an assignment to the minor leagues.
A three-time All-Star, Uggla has hit just .171 in 2013 and 2014 combined.
- Molly Geary