The Braves recalled right-hander Randall Delgado from Double-A Mississippi to start in Hanson's place Friday night against the Texas Rangers. The 21-year-old Delgado will be making his first appearance in the major leagues.
Hanson said an MRI on Friday revealed the inflammation but no structural damage.
Hanson is 8-4 and ranks second in the NL with a 2.48 ERA, trailing only teammate Jair Jurrjens' 2.13 mark. He is 3-0 with a 1.42 ERA in June despite lingering discomfort in the shoulder.
"It was really just between starts when I felt it more," Hanson said, adding he agreed with the decision to be placed on the disabled list, retroactive to Monday.
"I don't want to go on pitching with inflammation and mess something up," he said.
"If my shoulder is a little off, I guess it's best to give it a rest. ... Hopefully I don't get too out of sync in the next 10 days or so."
Delgado may be with the Braves for only one start. Manager Fredi Gonzalez said right-hander Brandon Beachy, recovering from an oblique injury, may be ready to return to the rotation for Hanson's next scheduled start.
Beachy gave up four hits and one run in five innings in a rehab start for Triple-A Gwinnett on Thursday night. He had eight strikeouts.
Atlanta also optioned infielder Brandon Hicks to Gwinnett on Friday and recalled right-hander Jairo Asencio from Gwinnett. Asencio, a reliever, has a 4.70 ERA in four appearances with Atlanta this season.
Gonzalez said Jones felt discomfort when he took swings in the batting cage on Friday and may return Sunday or Monday.
"I'm not going to push him," Gonzalez said.
Brooks Conrad, who hit a pinch-hit homer in the ninth inning of the Braves' 10-8 win over the Mets in 10 innings on Thursday night, is starting in Jones' spot at third.