The CO.ZW registry is managed by Zimbabwe Internet Service Providers Association (ZISPA) and is not an open registry such as .COM where it is simply a matter of first come, first served. All applications are vetted in accordance with the following policies:
Known company/organisation names will not be registered without authority from the body concerned. For example, you cannot register google.co.zw without authorisation from Google. In case of doubt, ZISPA may request proof of company registration.
Names of schools, clubs, churches etc must be registered in the name of those organisations, not of individuals.
Zimbabwean place names are reserved for the use of the corresponding national or local government authority
So as long as the domain name is not against the terms and conditions of ZISPA, it will be approved