Where is the button that will translate all countries from Countries module in all my 10 languages?
For large tasks like this consider automating. and not just using "Drupal". Can you make a CSV file of your countries list? Then write a small Bash, PHP, Ruby or any script to ask Google for the translation(s) 1 by 1. Then given your new big CSV file of English + 10 other columns of languages. Loop through the file rows and do a database insert to Drupal to create the translations ...

From the final CSV of country terms translated I would then try to use the Feeds or Migrate module to import them to Drupal, if I didnt want to write much code.