France's foreign minister said Paris was 'currently' planning to give only humanitarian help in the battle with Islamic State militants.
Laurent Fabius pledged French aid for displaced populations and met with Iraqi prime minister before flying to Irbil in the Kurdish region.
The move comes as President Hollande assured Kurdish authorities that France will stand by 'victims of continued exactions of the Islamic State'.
US president says French and British leaders agreed to join in efforts to relieve populations isolated and fleeing Islamic State forces.
The family of 11 are relatives of murdered Archbishop Faraj Raho, leader of the Chaldean Catholic church in northern Iraq.
Foreign Minister Laurent Fabius said international community must bring help against 'intolerable abuses' by Islamic militants in Qaraqoush.
Paris says it is 'outraged' by recent ultimatum for Mosul's Christians to convert to Islam or face death, and will give refuge to those affected.
Officers clear makeshift camp housing some 500 migrants at a food distribution point close to the French port where they had been squatting.
Reporter Nadir Dendoune is free to leave Iraq after the authorities close case against him for allegedly illegally photographing military and police.