I don't know how or if it impacts where your designs appear in the marketplace (or to which customers) but you can remove it from your profile - you can find it under the designer/creator settings section (not the store settings.)
https://www.zazzle.com/mbr/your-member-number-here/settings
You can't remove the country but you can leave the city and state blank, and uncheck the "display on profile" box. This is how I have mine set:
And this is what customers see:
I chose to hide mine because I kept getting messages from customers who wanted rush orders. These were people in my same city who assumed that I manufactured the goods myself. One woman even wanted to know if she could come pick the stuff up in person! Anyhow, I guess posting your location gives your profile more "flavor" but in general I just think it adds to the overall confusion factor.
This is a total aside, but in looking at your profile I saw that you used the word "bespoke." If you want to appeal to an American audience, you might want to choose a different word like "custom." I only recently learned the word "bespoke" - it isn't frequently used here, and it might confuse people.
