Depends on the authority
It will depend on the authority of testing facility. If the facility where you do your training and testing has the authority to issue an Iraqi type rating, your test will be administered under that authority and the appropriate licence/type rating issued. If the facility has has only the authority to issue FAA licences/ratings, you will be required to have the appropriate paperwork and meet the appropriate requirements to be tested for, and issued, the FAA licence/rating.
Many airlines in the US, for example, use simulators in foreign countries but said sims must be certified by the FAA. The examiner adminstering tests in those sims must also have FAA authority through the FAA directly or through the airline.