The official also said Saudi Arabia's king said he welcomes the normalization of bilateral ties and called for strong economic and regional cooperation.
Kissinger is widely hailed as the architect of the diplomatic reapproachment which led to the normalization of ties between China and the United States.
The U.S.-brokered economic normalization agreement between Belgrade and Pristina seeks to increase economic growth and job creation, and demonstrate the tangible benefits of cooperation.
He also says the normalization of Tehran-Riyadh ties has disappointed some Western countries as they consider tensions among states to be favorable for safeguarding their political interests.