"We have an issue with the will of the Iraqis to fight [ISIS] and defend themselves," Carter said in an interview on CNN. "We can give them training, we can give them equipment; we obviously can't give them the will to fight."
In Ramadi, the Iraqi forces "were not out numbered, but in fact they vastly outnumbered the opposing force, and yet they failed to fight," Carter said.
"I don't believe anybody felt that Ramadi would fall, and I think it's of great concern to everyone," retired Gen. Peter Chiarelli, former Army vice chief of staff, said on ABC News "This Week."
One Iraqi lawmaker said Sunday that Carter's characterization of the Iraqi Security Forces (ISF) was "unrealistic and baseless," according to The Associated Press.
The "will to fight" issue among ISF is at the heart of President Obama's approach to Iraq, and one key reason why he's resisted calls for more aggressive U.S. military intervention to confront ISIS.
"I know that there are some in Republican quarters who have suggested that I've overlearned the mistake of Iraq, and that, in fact, just because the 2003 invasion did not go well doesn't argue that we shouldn't go back in," Obama told The Atlantic this week.
"I will continue to order our military to provide the Iraqi security forces all assistance that they need in order to secure their country, and I'll provide diplomatic and economic assistance that's necessary for them to stabilize. But we can't do it for them," Obama said.
A majority of Americans support U.S. airstrikes against ISIS in Iraq and Syria, but fewer back deployment of more boots on the ground, according to the most recent ABC News/Washington Post poll.