Today the Iraqi foreign Ministry urged the US Ambassador to meet and discuss this issue.
There are more than 5,000 USA troops in Iraq, part of an worldwide coalition providing air and ground support in Iraqi forces' fight against Islamic State militants.
It fights under the umbrella of the Popular Mobilisation Forces (PMF), a mostly Iranian-backed coalition of Shi'ite militias that played a role in combating Islamic State.
In November, Ted Poe from the US House of Representatives proposed imposing "terrorism-related sanctions" on Nujaba.
Nujaba's leader Akram al-Kaabi was earlier designated by the Department of the Treasury "for threatening the peace and stability of Iraq".
Saudi prince is $450.3 mn Da Vinci art buyer at auction
Normally, news of a wealthy and powerful member of Saudi Arabia's royal family buying a piece of art would not raise any interest. Saudi Arabia adheres to a strict form of Islam which shuns visual portrayals of religious figures.
A prominent Iraqi militia, the Iran-backed Harakat Hezbollah al-Nujaba, said Trump's decision could become a "legitimate reason" to attack USA forces in Iraq. The president admitted the move will cause dissent, but says it could help resolve the Arab-Israeli conflict.
On Thursday, the Iraqi government demanded the U.S. reverse its decision to recognize Jerusalem as Israel's capital.
In its statement, Iraq also demanded on Thursday that the United States government backtrack on a decision to recognize Jerusalem al-Quds as Israeli regime's capital saying that "we caution against the risky repercussions of this decision on the stability of the region and the world".
Al-Abadi called on the US government to reverse that decision, because it can lead to an escalation of extremism and atmosphere conducive to terrorism around the world.