Mugabe said this while addressing the 19th Session of the AU Summit in Addis Ababa, Ethiopia this Monday.
Mugabe said while SADC has done its best in calling for the removal of the sanctions, Europe and the United States have been relentless in keeping them.
He said the AU must be the first to provide solutions in all conflict situations on the continent as solutions by outside organisations have not been helpful.
Mugabe cited the example of UN Resolution 1973, which authorised NATO to intervene in Libya, resulting in the killing of his ally Colonel Muammar Gaddafi and a host of casualties in the North African country.
He also called for the peaceful resolution of conflicts in Mali, Sudan and South Sudan, as well as the Sahrawi Republic.
President Mugabe congratulated the new AU Commission Chairperson, Dr Nkosazana Dlamini-Zuma and thanked outgoing Chairperson Jean Ping for his contribution to the organisation over the past four years.