“The Iraqi authorities call on Turkey to… immediately withdraw from Iraqi territory,” the statement said.
“We have confirmation that Turkish forces, numbering about one armoured regiment with a number of tanks and artillery, entered Iraqi territory… allegedly to train Iraqi groups, without a request or authorisation from Iraqi federal authorities,” it said.
The deployment “is considered a serious violation of Iraqi sovereignty,” it added.
Turkish media reported that around 150 Turkish soldiers backed by 20 to 25 tanks had been sent by road to the Bashiqa area northeast of Mosul, the city that is the Islamic State jihadist group’s main hub in Iraq.
Peshmerga forces from Iraq’s autonomous Kurdish region are deployed in the area, and Turkey’s Anatolia news agency said the troops were there to train them.
IS overran swathes of territory north and west of Baghdad last year, and Iraqi forces backed by US-led air strikes are battling to drive the jihadists back.
The peshmerga are one of the most effective Iraqi forces in the anti-IS fight, but coordination between them and the federal government in Baghdad has generally been poor.