The move on Saturday, retroactive to Wednesday, came after Martin's workout Friday showed ongoing problems. He complained of numbness in his fingers and was forced to leave a relief appearance Sunday at Philadelphia.
"He just had some discomfort still," Braves manager Brian Snitker said Saturday. "... It wasn't going to work, so we had to shut him down for a period."
Asked if Martin's shoulder is the problem, Snitker said, "When he went and tried to throw yesterday, all of a sudden it became a concern. We were hoping yesterday was going to go good."
Martin had been expected to join left-hander Will Smith at the back of Atlanta's bullpen. He has a 5.40 ERA over 1 2/3 innings and two appearances in 2021 and had a 1.00 ERA with one save in 18 innings over 19 appearances in 2020.
"We've got a lot of options, and in situations like this, guys are going to get opportunity to show us what they can do," Snitker said.
The Braves recalled right-hander Jacob Webb from the team's alternate training site for Saturday night's game against the Phillies. Webb threw 10 scoreless innings in eight appearances in 2020.