The decision on Vizcaino was made before Sunday's 7-3 win over Baltimore after the right-hander had been unavailable to pitch in the first two games of the series due to shoulder soreness. The move was made retroactive to Thursday.
Vizcaino is 2-2 with a 1.82 ERA and 15 saves in 17 opportunities.
The Braves selected the contract of right-hander Evan Phillips from Triple-A Gwinnett, where he was 4-4 with a 2.31 ERA in 26 games, all in relief.
One option to close games while Vizcaino is on the DL is hard-throwing left-hander A.J. Minter, who has two saves.