The setting My Name is grayed out

If an app or feature on your device is not working, not appearing, or is restricted (grayed out), it may have been disabled using Screen Time, or by an IT administrator if you are using a device owned by an employer or educational institution.

- Read this support article If your Apple ID or other options are greyed out in Settings —> If your Apple ID is greyed out in Settings - Apple Support

Tap Settings > Screen Time > Content & Privacy > scroll to Allow Changes.

- If the device is managed (Settings > General > VPN & Device Management), contact the IT department that is doing the managing.

See -> If your Apple ID is greyed out in Settings

If your Apple ID is greyed out in Settings - Apple Support

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If you can't click your Apple ID

1. Go to Settings, then tap Screen Time.
2. Tap Content & Privacy Restrictions. 
3. If Content & Privacy Restrictions is turned on, scroll down to the Allow Changes section.
4. Tap Account Changes, and set it to Allow. If asked, enter your Screen Time passcode. 

If you can't click other options in Settings 

1. Go to Settings, then tap Screen Time.
2. Tap Content & Privacy Restrictions.
3. If Content & Privacy Restrictions is turned on, scroll down and check if any settings are set to Don't Allow. 
4. If so, tap the setting, then choose Allow. If asked, enter your Screen Time passcode. 

or see:

If it is a private iPhone, see -> Use parental controls on your child's iPhone, iPad and iPod touch

Use parental controls on your child's iPhone, iPad and iPod touch – Apple Support (UK)

• 👉 Check restrictions -> tap Settings -> Screen Time -> Content & Privacy -> scroll to Allow Changes.

or

If you have a MDM profile, you need to contact your company - IT department.