Why can’t I sign out of my Apple ID?

You may have Screen Time Restrictions set to ON.

Open Settings ➔ Screen Time ➔ Content & Privacy Restrictions ➔ Account Changes : Set this to ALLOW

Axel F.

kh106 Said:

"Why can’t I sign out of my Apple ID?: I keep trying to log out of my iPhone Apple account and it doesn’t let me click on the sign out button. What is going on? I have been noticing a lot of weird things with my entire account"

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Secure your Account:

If you've noticed weird things going on in your account, then (A)verify your devices, and (B)secure your account. Open a new eMail address and use that for your Apple ID.

1. Verify your Devices:

Verify that all devices are logged in to your account, by using this link: Check your Apple ID Device List to See where you're Signed in - Apple Support

then...

2. Modify your Credentials:

Having been stollen, someone lily has your credentials. So, by all means, modifying them.

• Modify: your login credentials (Using Both a New eMail and a New Password for each and all sites)
• Associate: a different method of payment to your account
• Enable: Two-Factor Authentication for Apple ID and for all other accounts that have such an applicable option