"France strongly condemns the attacks carried out against the positions of the international coalition in Iraq and today's attempted incursion into the US embassy compound in Baghdad," Parly told the crew of the French frigate Courbet with whom she rang in the New Year.

In the speech, the text of which was only made public on Wednesday, she also expressed "full solidarity" with the US.

Thousands of Iraqi supporters of the largely Iranian-trained Hashed al-Shaabi paramilitary force marched on the US embassy on Tuesday furious over the deaths of 25 pro-Iranian militia members in US air strikes.

They set a security post on fire, breached one of the compound's outer walls and threw rocks but were repelled by US troops who used tear gas to defend the building.

On Wednesday, hundreds of demonstrators remained outside the embassy, despite orders from the Hashed al-Shaabi militia for an end to the sit-in.

US President Donald Trump tweeted that Iran would pay a "very BIG PRICE" for any lives lost or damage caused.