Hi,
Thank you for your reply.
Yes, creating the select field is the option. But my client is persistent that the option is worked before on that way and that he had the option to select the parts of the city instead of the state regions.
In the Woo settings are selected this for the state:

Is the field pull the information from here? Am I missing something?
The delivery will be only in the selected city and he wants to have the city part displayed.
Thanks