Why won’t my keychain save my iCloud password?

See the article How to find saved passwords and passkeys on your iPhone - Apple Support

Need more help?

• Find your saved Wi-Fi passwords on iPhone or iPad.
• iCloud Keychain keeps your passwords, passkeys, and other secure information updated across your iPhone, iPad, iPod touch, or Mac. Set up iCloud Keychain.
• Get help if you don't see your saved passwords or passkeys in iCloud Keychain.
• Learn more about passkeys as a replacement for passwords. They are faster to sign in with, easier to use, and more secure.
• Set up and use AutoFill in Safari on your iPhone.

Read Change weak or compromised passwords on iPhone - Apple Support

Hello there,

You're asking about using iCloud Keychain to store your Apple ID password (also used for iCloud). It should be able to. Start with the steps from the article that linked you here. In case you need the link again, here it is: Set up iCloud Keychain

If you aren't able to store your account password with iCloud Keychain, reply back with which device you are using and if you see any particular error message. That will provide insight as to what might be going on.

We look forward to hearing back from you.

Take care.

"Why won’t my keychain save my iCloud password?"

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Finding iCloud Password:

Use a computer to view this in Keychain. Look for appleid.apple.com in the list.