Multilingual sites
Recommended approach
Create a separate module instance per content language (e.g. English and French), assign each to the right language and menu, and translate the form content fields in each copy.
Language files
System messages (validation hints, some Ajax errors) use MOD_MAILERLITE_NEWSLETTER_* strings in language/<tag>/mod_mailerlite_newsletter.ini. Copy en-GB to your tag and translate.
Site language folder
After install, a copy may exist under language/<tag>/ at the site root. Keep it in sync with the module’s language files when you add new keys.