Hamilton cleared waivers Thursday and was sent outright to Triple-A Gwinnett.
Hamilton doesn't have any minor-league options remaining, so the demotion to Triple-A will cost him his place on Atlanta's 40-man roster. The 30-year-old righty made just two appearances in the Grapefruit League this spring, giving up one run on three hits and two walks while striking out one batter in 1.2 innings.