Mohammed Munim, 35, was working at an Interior Ministry office that issues government ID cards to residents in Baghdad's Shiite Sadr City neighborhood when a car exploded outside.
He was hit by shrapnel in his neck and back.
Mr Munin told the Associated Press from his hospital bed:
It was a thunderous explosion.
The only thing I remember was the smoke and fire, which was everywhere.
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The announcement came a day after a famine was declared in two areas of South Sudan following three years of civil war and severe inflation.
It is unclear what their alleged plans were.
Anti-terror police are currently questioning the men who were arrested at three separate locations in France.