You may need to download an APK file for an application from a different country Google Play Store. But in order to do this, you need an google play store account for that specific country with a credit card connected to your google play store account from that country.
There is an simple way to Downloading APK file from any google play store.
1. Simply visit google play store and find the application you like to download. Then copy the HTTP link.
2. Visit http://apps.evozi.com/apk-downloader/ and paste the HTTP link of google play store. Then simply click Download.
3. Your application will be directly downloaded to you device!