In the modern 21st century, Zebra, as a whole, cannot be domesticated, (with the exception of a few one offs).
However, your challenge is to create POD within the last 2 millenia in which we have domesticated Zebra due to selective breeding, changes in condition or otherwise.
Bonus points if you have large scale domestication in which an African civilisation heavily utilises Zebra in the way which both European and Asian societies use the horse.
Extra extra bonus points if you could create a scenario in which an African major power utilises the zebra in the way the Mongols used the horse.