Direct proof of use
The EC-130J Commando Solo is directly documented in the 2003 Iraq War through the U.S. Air Force fact sheet for the type. The fact sheet identifies the EC-130J as the 193rd Special Operations Wing aircraft for airborne information-operations broadcasts and lists Operation Iraqi Freedom deployments in 2005, 2007, and 2009.
The same Air Force chronology is important for dating the Iraq use. It says the first EC-130J Commando Solo III flight occurred in November 2003 and gives initial operating capability as 2004, so the public EC-130J record supports Iraq War service after the invasion phase rather than the opening March-April 2003 Commando Solo missions.
Sources: EC-130J Commando Solo Fact Sheet
Timeline
Commando Solo aircraft were already active around Iraq before the EC-130J conversion was complete. The Air Force fact sheet says two Commando Solo aircraft deployed in November 2002 for operational-preparation broadcast missions over the Persian Gulf under Operation Southern Watch, continued those daily missions into and after the March 2003 invasion, and had four 193rd aircraft deployed at three operating locations by April 2003.
The EC-130J-specific sequence begins later in 2003. The fact sheet dates the first EC-130J Commando Solo III flight to November 2003, lists initial operating capability in 2004, and then lists Operation Iraqi Freedom among the 193rd Special Operations Wing's deployments in 2005, 2007, and 2009.
Sources: EC-130J Commando Solo Fact Sheet
Role in the conflict
In Iraq, the documented user was the United States, through the Pennsylvania Air National Guard's 193rd Special Operations Wing, an Air Force Special Operations Command-gained unit. The aircraft's supported mission was airborne information operations, with digital and analog radio and television broadcasts; Lockheed Martin separately describes the EC-130J as designed for information operations, psychological operations, and civil-affairs broadcasts across AM, FM, HF, TV, and military communications bands.
The available public sources support deployment and broadcast-mission use, not a publicly detailed record of individual messages, target audiences, sortie locations, or effects during the 2005, 2007, and 2009 Operation Iraqi Freedom deployments. The Air Force fact sheet also lists electronic warfare as a secondary function, but the Iraq-specific public claim here is the aircraft's Commando Solo information-operations broadcast role.
Sources: EC-130J Commando Solo Fact Sheet, Lockheed Martin EC-130J