A salvo of rockets was launched early Friday at the US embassy in Baghdad's heavily fortified Green Zone, the latest in a flurry of such attacks amid the war in Gaza.

The attack caused no reported casualties or damage, and there was no immediate claim of responsibility, while a US spokesperson said "indications are the attacks were initiated by Iran-aligned militias".

Prime Minister Mohammed Shia al-Sudani's office on Thursday reported several arrests over the attack and said that "unfortunately, preliminary information indicates that some of them are connected to certain security services".

The search was ongoing "to reach all those involved in this attack," said Sudani's office in a statement, vowing that "the hand of justice will reach them".

The statement, issued by Special Forces Major General Yehia Rasool, did not name the suspects or what security services they were believed to be linked to.

But a security official in Baghdad, speaking anonymously due to the sensitivity of the matter, reported 13 people arrested, including members of the security forces.

The United States leads an international coalition battling jihadists in Iraq and neighbouring Syria, and its forces have come under repeated attack in recent weeks.

Pro-Iran groups have justified their attacks by pointing to American support for Israel.

Sudani, brought to power by a pro-Tehran coalition, faces a difficult balancing act between the United States and Iran.

In Iraq, most attacks were claimed by the Islamic Resistance in Iraq, a loose formation of armed groups affiliated with the Hashed al-Shaabi coalition. The Hashed's former paramilitaries that are now integrated into Iraq's regular armed forces.

The Israel-Hamas war began when Hamas gunmen attacked Israel on October 7, killing about 1,200 people, mostly civilians, and taking around 240 hostages, Israeli officials say.

In response, Israel vowed to destroy Hamas and launched a massive military offensive that has killed over 18,600 people in Gaza, according to the Hamas-run territory's health ministry.