BAGHDAD — Over an intense half-hour before dawn on Wednesday, Iran bombed targets in Iraq, striking in and around two large military bases that house thousands of Iraqi and American servicemen and women.

But when the barrage of 22 missiles was over, the damage appeared to be to the bases’ infrastructure, not to people.

In a short statement released on Wednesday morning, the Joint Command in Baghdad, which includes both Iraqi and international representatives, said that neither coalition nor Iraqi forces had “recorded any losses.”