I am pretty sure you can freeze eggs as this was not banned it was the freezing of embryos they banned but once again I am sure this ban was cancelled earlier this year. JC's problem is the fact she is not married.
My post was was deleted !!? I had written yesterday that Dubai dont freeze but they do in Sharjah, but Sharry does make a good point about marriage. They need to see your original marriage certificate.
Freezing eggs does not have the same success as embryos and don't know if you would be able to get it done here as your not married, as I am not sure if the clinics would be allowed to treat you as basically you would go through the same process as IVF without the fertilisation.
Hopefully I am wrong!!