To which 'Africa' quick-link are you referring? Under Search> Records? On the map when selecting Africa there - there are 49 African countries listed from which to select - I do not see an option to select the entire 'Africa' continent either.
If you can specify what homepage you are on and which 'quick-link' you are trying to select 'Africa' that might help us direct you.
Paul W ✭✭✭✭✭
The problem in identifying your problem might relate to which "version" of the Search Historical Records facility you are using, as two are currently available - depending on which browser you are using and other factors.
If you are using the "revised" version, I am looking at https://www.familysearch.org/search/location/list (using another tab) and am able to get a list of country names when I click on the representation of Africa in the world map on that page.
Try another browser, if you have one installed, to see if this might be a cookies problem (they need to be deleted) or browser issue.
If you are referring to this page, I get a list of countries in Africa when I click on it on the map:0