Sometimes you wish you had access to a different app store. In my case, I needed to download the Stereoplay app (Stereoplay is a German HIFI magazine), which is not available in the Thai and Korean app stores. Simply changing the country in my default Apple ID does not work, as I do not have a valid credit card in Switzerland or Germany, and without changing the payment information you cannot change the country. However, it is possible to create a new Apple ID on your device, and during initial setup, it is possible to choose None as payment information. Note that you cannot create the Apple ID on your computer and then login from your device, you need to actually create the ID on the device.
You must create your Apple ID on the device, such as iPhone, iPad, or iPod touch:
Go to Settings, then iTunes & App Store. Tap the current Apple ID, sign out from it and enter the new Apple ID and password.