"Last night, we slapped them on the face", he said, with the crowd responding with chants of "death to America".
The watchdog, which has been covering violence in Syria since the pro-democracy uprising started there in 2011, said USA drones were constantly hovering over the area of the Euphrates River and monitoring the situation.
In a statement on Wednesday morning, Major General Mohammad Hossein Baqeri said the missile attacks by the IRGC Aerospace Force in the early hours of Wednesday against the United States military bases in Iraq gave a warning to the "terrorist USA regime's" authorities.
Also read: Who is Qasem Soleimani of Iran?
An explosion is seen following missiles landing at what is believed to be Ain al-Asad Air Base in Iraq, in this still image taken from a video shot on January 8, 2020.
Iran's Supreme Leader Ali Khamenei said the missile attack was a "slap on the face" of the United States and that U.S. troops should leave the region. "The president has been briefed and is monitoring the situation closely and consulting with his national security team".
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The US Federal Aviation Administration said it would ban US airlines from operating in the airspace over Iraq, Iran, the Gulf and the Gulf of Oman.
Iranian state television said 80 "American terrorists" had been killed and U.S. helicopters and military equipment damaged.
The attacks came after pro-Tehran factions in Iraq had vowed to "respond" to a United States drone strike that killed Iranian general Qasem Soleimani in Baghdad last week.
"It's the worst thing that could happen to Iraq - if we leave" during the current turmoil while facing threats from Iran and a continuing battle against the remnants of the Islamic state.
While Zarif said that Iran does not seek to escalate tensions in the Middle East, the Islamic Revolutionary Guard Corps (IRGC) said through Iran State TV that the United States would face a broader and stronger response if the U.S. responded to the Iranian missile attack.
"I think the big question is, what will be the U.S's response?"
The foreign minister denied that Iran has control over such groups, and said whatever retaliation they might seek would be separate and apart from Tehran's own.