Removing url first page google search?

This is not my website to remove however, it has the same name as my clients business. My client would like me to remove the URL in the first Google search page. This URL address to au. And we are from UK. So it does make sense not to have that link in the first Google search page. Is this possible to do? Can I do this in Google Business? Or any platform that will allow me to remove other URLs?

I’m confused, is it the same site with two different top-level domains?