"Any person can leave the country via Baghdad without paying a fine or for an exit visa," Interior Minister Qassem al-Araji told journalists.
Baghdad ordered the suspension of international flights to and from Iraqi Kurdistan from Friday in retaliation for the Kurds voting for independence earlier last week.
A top ministry official said he would facilitate journalist visas, which usually take at least a month to process.
Iraqi Kurds gave a resounding 92.7-percent "yes" vote for independence in last Monday's non-binding referendum, which has also sent regional tensions soaring.
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