"Well, I'll tell you, I'll tell you, I agree, I agree. Some people are really upset," Bachmann replied to the man before moving on to meet another supporter.
The Republican congresswoman and GOP presidential candidate made news earlier this week for a similar encounter during a radio interview in which she seemed to casually accept a controversial comment from a caller.
"I would vote for Charles Manson before this guy," the caller said, comparing the notorious criminal to Obama. "But I’m pulling for you big time, all the way, go Michele!"
"Thank you for saying that," Bachmann replied.
Bachmann's campaign has had a difficult week, following up on an even tougher month. On Tuesday, The Huffington Post's Jon Ward reported that longtime Republican pollster Ed Goeas and other aides were leaving her presidential campaign, a sign that her funds were beginning to dwindle.
The latest moves are consistent with a trend that has seen Bachmann slipping in the polls ever since a high-profile win at the Iowa straw poll in mid-August.