It is immediately subject to the Patriarchate of Antioch of the Melkites, not part of its or any other ecclesiastical province, and in Rome depends on the Congregation for the Oriental Churches.
From the second half of the eighteenth century began to settle in Iraq Melkite Christians, to whom the Latin missionaries or clergy of other Eastern churches assuring the religious service.
At his death in 1886, he was succeeded by the Aleppine monk Romanos Kallab (1886-1926), who brought his parishioners together in the Armenian Catholic Church.
However it was not until the Archimandrite Maximos Hakim that the small Melkite Greek Catholic community in Iraq could have his own church dedicated to St. George; however it was bombed on October 17, 2003 during Gulf War II.
Since 2004 Patriarch Gregory III Laham, who has assumed direct responsibility for the Exarchate, entrusted pastoral service in the parish of Baghdad to the Redemptorist Vincent Vossel.