"Given the ongoing turmoil and recent escalation of major potential warfare, the company saw no prospect of operating in Iraq in the future."
Shares in the company rose 1.2 per cent to 43.5 cents at the close of the market yesterday.
The company said there would be no material effect on its earnings as a result of the single closure in the country.
This announcement came amid uncertainty in the Middle East, with growing tensions between Iran and the United States.
BurgerFuel opened its first Iraqi store in 2012 as part of international expansion plans.
BurgerFuel CEO of international markets Chris Mason said at the time that entering new territories was a major focus for the company.
The BurgerFuel website states that the company currently has stores across New Zealand, the United Arab Emirates, Saudi Arabia and the United States.
This is not the first time the company has pulled out of Iraq, having also done so in October 2014 in response to the growing threat of Isis.
It would relaunch in 2016 with the Baghdad outlet, which has now been closed.