After submitted websites at official URL inside Google system, there is different result at Google international URL which is called Google.com and local search results page. Is there possibility to show website locally and also international or Google defines its own rules when website will be shown. As this is financial consequence it is very important to understand. Websites rank at the top for other major search engines but seems local search is not expanded to international search results.
Think the common strategy is to have country specific sections (e.g. example.com/au, example.com/nz etc) and region lock those sections in webmaster tools while setting the root to global. Otherwise it's a case of having cake and eating it too haha