Yes, you will log in exactly as you would as if on PC.

However, please note that the Square Enix Software Token application for smartphones is scheduled to be discontinued after 2024. The application will remain usable until the end of its service, but please consider switching over to the Square Enix Security Token (Key Ring Type) or software authenticator for smartphones.

How to Activate a Software Authenticator

I want to purchase a Square Enix Security Token and use it to log into my Square Enix Account. What do I need to do?

How can I obtain a security token?