If you are a Private Cloud user, the 3DEXPERIENCE ID you use to access your Production platform is not known by 3DS (as it is a Private Cloud) and therefore it cannot let you see your Live Status console.
To access your Live Status console, you need to create 3DEXPERIENCE ID (known by 3DS) by using the same email as the one you use for Production Platform. Click here to create the ID.