Bedrosian, 22, was optioned on June 21 after posting a 14.29 ERA in six appearances.
"He was really trying to finesse too much, pitch around contact, and he got into a lot of bad counts," manager Mike Scioscia said.
Green was seldom used since being recalled, appearing in just seven of 17 games, with three starts. He was 1-for-10 with two RBIs.
Scioscia said the Angels needed to add a seventh reliever, and Bedrosian was the choice.
"This is really just a reaction to needing an arm, and Cam had been making some adjustments and getting comfortable again down there," Scioscia said. "Hopefully, when he gets his next look, he'll be a little further along where he can be a little more productive."
Matthew DeFranks is an associate reporter for MLB.com. Follow him on Twitter @MDeFranks. This story was not subject to the approval of Major League Baseball or its clubs.