Appiah, who finished fourth with the Black Stars at the 2013 Afcon, comes ahead of Dutchman Louis Van Gaal with Spain’s Vicente Del Bosque leading
Appiah moved three places up from his previous 72nd position, with a point haul of 3721.
The Netherlands-based IFCS ranked the 52-year-old coach ahead of coaches such as Argentine Jose Pekerman (79th) of Colombia, Belgian George Leekens (90th), Frenchman Raymond Domenech (97th) and Dutchman Louis Van Gaal (100th).
Appiah finished fourth with the Black Stars at the 2013 Africa Cup of Nations in South Africa.
Vicente Del Bosque (Spain) leads the list with Joachim Low (Germany), Bert Van Marwijk (formerly of Netherlands), Oscar Tabarez (Uruguay), and Bob Bradley (Egypt) following in that order.