From 2001 to 2003, Qubad worked as a special assistant to Barham Salih, at that time the Representative of the Patriotic Union of Kurdistan (one of Iraq's leading Kurdish political parties) in Washington D.C., and later as the Deputy PUK Representative. In 2003, he returned to Kurdistan for one year and served as the PUK's Senior Foreign Relations officer to the coalition forces and the Coalition Provisional Authority. He also acted as a liaison officer between the PUK and U.S. military forces in Iraq. He was a leading negotiator in the drafting of the Transitional Administrative Law (TAL), the first Iraqi constitution since the overthrow of Saddam Hussein.