Is it permissible to eat beef and poultry cooked by a French family, knowing that the name of Allah was not mentioned at the time of slaughter, and is it sufficient to mention His name before eating?

The ruling on living with a disbelieving family and residing in a land of disbelief has been addressed in Fatwa no. 41124. The ruling on the food of disbelievers has been addressed in Fatawa no. 18696 and 31223.