Of course it works! @king_kunta just because Zimbabwe does not have Zip code does not mean that shipping does not work. Just put random numbers or zeroes into the box and it should work. I have done it on many occasions myself.
I have a feeling you are referring to free shipping in this instance. It does but it takes up to two months for your package to arrive. If there is ZIMRA duty involved you will be charged an extra $10 handling fee by Zimpost.