The Iraqi parliament approved a law last year to give full legal status to fighters from Popular Mobilization Units, who have joined forces with government forces in counter-terrorism operations against Daesh militants across the country.
The call to ban US nationals came in a statement published by its spokesman, Ahmed al-Assadi, Reuters reported.
Trump on Friday signed an executive order that will curb immigration and the entry of refugees from some Muslim-majority countries. He separately said he wanted the US to give priority to Syrian Christians fleeing the civil war there.
Politicians, rights groups and activists have criticized Trump’s crackdown on refugees.