US is not even present in Iraq, except for some military advisors.
Iran's terrorist regime tries to make it look like the US is embedded in Iraq's institutions. It's the opposite, Iran's sticking its nose in Iraq's affairs in every single way and America's departure helps them to do so more.
US strike on Soleimani was a great thing, it removed any Iranian leadership on Iraq's Shia groups who now don't respect any Iranian figure, they could give 2 shits about Iran but they remain an issue as they happen to be low IQ Shia Islamists.