President Donald Trump signs Executive Orders at the Pentagon in Arlington, VirginiaThe Pentagon is compiling a list of Iraqi citizens who have worked with the U.S. military and is recommending that&nbsp;they be exempt from President Trump&rsquo;s temporary ban on entry to the U.S. by people from Iraq and six other predominantly Muslim countries, according to the U.S. military.The move could potentially shield tens of thousands of Iraqi interpreters, advisors, and others who have assisted the American military from the president&rsquo;s controversial executive action that blocked visitors&nbsp;from&nbsp;Iraq, Iran, Syria, Sudan, Somalia, Libya and Yemen.Capt. Jeff Davis, a Pentagon spokesman, told reporters Monday that the list will include names of individuals who have &ldquo;demonstrated their commitment&rdquo; to helping the United States.&ldquo;Even people that are doing seemingly benign things in support of us &mdash; whether as a linguist, a driver, anything else &mdash;&nbsp;they often do that at great personal risk,&rdquo; he said. &ldquo;So people who take these risks are really making a tangible signal of support to the United States, and that&rsquo;s something that will,&nbsp;and should be, recognized."The list would not require any changes to the president&rsquo;s order, but rather serve as guidance to the Department of Homeland Security and the White House in implementing the new policy.White House spokesman Sean Spicer later pushed back against blanket exemptions.&ldquo;We recognize that people have served this country, we should make sure that in those cases they're helped out,&rdquo; he said. &ldquo;But that doesn't mean that we just give them a pass.&rdquo;Trump, who signed the order at the Pentagon on Friday, did not consult Defense Secretary James N. Mattis or Gen. Joseph F. Dunford Jr., the chairman of the Joint Chiefs of Staff, on the temporary suspensions of entry to visitors from the seven nations, according to U.S. officials.&nbsp;The executive action put the U.S. military in a difficult position because it works closely with the Iraqi government&nbsp;on a range of issues, including the fight against Islamic State,&nbsp;which necessitates travel between the two countries.For instance, Iraqi military pilots train to fly F-16 fighter jets&nbsp;at Luke Air Force Base in Arizona. It's not clear those pilots, who are active in the fight against Islamic State, could arrive in the U.S. for the training.1:10 p.m.: This post was updated with White House response.