Barzani also asked all Christian victims of ISIL’s violence to show patience.
"The enemies of humanity, peace and coexistence do not want you to stay in this country," he said. "My dear brothers and sisters, please do not think of leaving this country. Your hope must be high. Staying in Iraq will break the goals of the terrorists."
Barzani said that Christians and other minorities are the most essential element of Iraq.
Christmas is celebrated by Christians on Dec. 25 to commemorate the birth of Jesus Christ.
The fighting pitting the Iraqi army and Kurdish peshmerga forces against ISIL fighters has been ongoing since mid-June, when the militant group took control of Mosul, the second largest city in the country.
The U.S. is leading an international coalition that has carried out numerous airstrikes against ISIL in Iraq and Syria.
According to the UN, an estimated 1.8 million citizens have been internally displaced throughout Iraq in 2014.