Erased disk and now trying to install Mac OS Monterey. Message says select disk where you want to install Mac OS. Nothing shows or listed, no options

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When you erased the disk what what partition map and formate did you select?

You want GUID partition map and APFS format. It appears you did not select those. Go to Disk Utility and erase again and sect those parameters/

Was this Apple Method used ? Use Disk Utility to erase an Intel-based Mac

Was this method from Apple Used ? How to reinstall macOS

Follow these guidelines during installation:

• If the installer asks to unlock your disk, enter the password you use to log in to your Mac.
• If the installer doesn't see your disk, or it says that it can't install on your computer or volume, you might need to erase your disk first.
• If the installer offers you the choice between installing on Macintosh HD or Macintosh HD - Data, choose Macintosh HD.