Iraq is a country that has occasionally played a big role in the events of South Park. The country is mostly known for the character of Saddam Hussein, the former leader of Iraq in real life, who has been a part of several episodes, and the movie South Park: Bigger, Longer & Uncut.
The episode "Red Sleigh Down" takes place mostly in Iraq, and the main antagonists are Iraqi terrorists. They kidnap Santa Claus and Jesus, and the boys embark on a daring mission to rescue them, armed with M4 assault rifles. Jesus manages to kill several of them, but he is eventually shot to the death in Iraq, but Santa and the boys manage to escape.
Iraq also appears in the episode, "Terrance and Phillip in Not Without My Anus". Terrance and Phillip fly to Iran to rescue Terrance's Daughter, where they immediately find her and fly back with the then-Iraqi Dictator Saddam Hussein and his henchmen, who somehow get on the planes with their firearms on them. After taking control of the airports, they smuggle in more soldiers and set up posters of Saddam everywhere, slowly taking over Canada, until the majority of them are killed by a Canadian chemical weapons strike. It is notable that while the Iraqi soldiers appear like Canadians in this episode, the ones in "Red Sleigh Down" appear in the normal South Park animation style. A running joke is that no one can seem to tell the difference between Iran and Iraq, not even Saddam, himself.