The three sources, who spoke on condition of anonymity, did not specify how many of the 14 that the military announced were detained had been released.
A paramilitary official told Reuters that all 14 had been released and that a judge did not find evidence of possession of rockets or launchers, without giving further details.
The military said Friday that its forces had raided a base in southern Baghdad used by militiamen suspected of firing rockets at foreign embassies in Baghdad’s fortified Green Zone and its international airport.
Iraqi authorities were questioning the 14 men detained during the raid, the military added.
The incident took place after a number of rocket attacks near the US Embassy in Baghdad and other U.S. military sites in recent weeks.The raid was the most brazen action by Iraqi forces against a major Iran-backed militia in years and targeted the Kataib Hezbollah group, which US officials accuse of firing rockets at bases hosting U.S. troops and other facilities in Iraq.