It is possible to have the emails in Shopify in multiple languages. Following are instructions if you are using the LangShop app on your multi-language website:
Customize the emails in OrderlyEmails for the store’s main language and click on 'Export to Shopify' guide.
Note: You must first purchase the theme to be able to export the email template code.
Once you're done replacing the email code on the Shopify Notifications settings, go to the LangShop app > 'Translations' > 'Notification templates.' Choose the email, and paste the same email code you received from the OrderlyEmails app in all language options so the email design is preserved.
For each one of the secondary languages you have, go to 'More Actions' and 'Translate'. Just make sure to check 'Overwrite existing translations' option.
Note: Make sure you repeat the steps above for each one of the email notifications available on OrderlyEmails.
Once everything is in place, you may want to preview the templates. You can do this by going to the Shopify Notifications. Just click on the Notifications you wish to preview and select the 'Language' option to see the template in each available language.