The United States is the only country known to operate armed drones over Yemen.
The bombardment killed at least one person and injured more than 20 others, the Syrian Observatory for Human Rights, a British-based monitor, said.
During the talk show Prime Minister Al Thani faced a barrage of angry questions from citizens who blamed his government for the lack of basic services such as electricity and poor security in areas it controls.
The blasts targeted mostly Shia areas and came less than a month after a massive suicide attack left at least 120 dead in Khan Bani Saad.
Group cedes frontline to other Syrian militant outfits
Daesh group plans to take control of the Middle East, North Africa, most of the Indian subcontinent and parts of Europe, within the next five years.
Speaker Salim Al Juburi asks Haider Al Abadi to dismiss a number of ministers who are clearly guilty of dereliction, negligence and corruption.