Changing country in the apple store

The problem with adding a payment method is you need to have a payment method valid for the Swiss Apple App Store. This is typically a credit or debit card with a Swiss billing address.* You probably don't have that anymore so now your only option is to ask Apple to keep the balance which will then let you change your country setting to your new country.

Click here --> https://support.apple.com/choose-country-region Select your country, then a product such as billing. If you do not see your country, see if there is an "other" listing for that region. If you don't see an option that handles your issue then keep experimenting with selections until you reach one that gets you a chat session or a telephone call and get the representative to redirect you.

Or call Apple Support --> https://support.apple.com/HT201232

References:

Click on this link to read full information about requirements for changing store country:

Change your Apple ID country or region --> https://support.apple.com/HT204447

*"Make sure that the billing address for your payment method matches the billing address for your Apple ID."

I am not sure about what you were told over the phone... (Some of us do not believe in the infallibility of Apple Support.) If you want to change countries and use the solution they told you to try then you will have to find something that costs exactly 5 CHF, plus you may still need to have a valid payment method on the account since that is required by Apple if you "buy" anything that actually costs money. Unless you still have a credit card billed to you at an address in Switzerland that may not be possible to do. That's what I was trying to explain in my first post. Now I don't think Apple needs 5 CHF (sounds like a nice slice of cake and a coffee from my days living in Zürich!) but you may be in a position where you are forced to donate it to them in order to bring your account to 0.