The minister added that the withdrawal does not pose a threat to the country's oilfields.
He said that he sent a letter to the Exxon Mobil's officials asking for clarification, demanding the return of its staff to work, according to the statement.
Thamer Ghadhban today said that Exxon's decision was "unacceptable and unjustified" after it was revealed that all its foreign staff at the West Qurna 1 oilfield would be moved out of the country.
The evacuation came amid the tense situation in the region after U.S. President Donald Trump decided not to re-issue the sanctions waivers for major importers to continue buying Iran's oil when they expired in early May.
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"Production is managed by Iraqi engineers anyway, the foreigners are advisers. As a matter of practice, we don't share specifics related to operational staffing at our facilities", a spokeswoman said. "We are committed to ensuring the safety of our employees and contractors at all of our facilities around the world", King wrote in an email.
"Last night 28 employees were evacuated to the airport and the rest were sent to the camp. We have a closed-circuit television link with (the foreign staff) and can communicate with them whenever we need", said an official at Iraq's South Oil Company.
West Qurna 1 is near the border with Iran, and the company officially said the evacuation was a "precautionary" move, implying it was something to do with mounting US-Iran tensions. "Only around 60 people have left and they're all advisors, administrators and finance staff".
Tensions between Washington and Tehran have escalated as the USA deployed a carrier strike group and bomber task force to the Middle East, citing an imminent but unexplained threat from Iran.
Washington has increased economic sanctions and said it was building up its military presence in the region, accusing Iran of threats to US troops and interests. Tehran has described those steps as "psychological warfare" and a "political game".