Hello
opening a bank account in Ethiopia is easy and fast. The point is that you can not expect the same service as you are most likely used at home. Ok online banking is by now days possible but in general the Ethiopian Business World is still using cash as the common payment!
The Bank will ask you for some legal paper, which might be the real problem for you, I believe due that you wrote "self employed" - so you need a resident permit for 1 year and most important a work permit!
Both you can get as a non Ethiopian either
a. based on a employment contract with a legal entity
b. as a investor running your onw business
Setting up your own business is basically easy and needs not more the 3 days, if you fulfill the requirements and here comes the big problem. For each business field are minimum capital requirements requested from NON Ethiopians, which are honestly speaking very high!
Also not every business is open for non Ethiopians, check out the proclamations (you find most online today at the HP of the investment commission or the immigration office)
Another question is for what do you want to use the account, basically its limited to domestic banking. A transfer to another country is a big challenge and as well demands a lot of requirements to full fill and a lot of patience! You can say t is not POSSIBLE to send money out of the country!
Feel free to contact me directly! But please check out your legal status in Ethiopia, it might be the bigger hurdle the n a bank account!
Oliver