Thank you for posting this in Microsoft Q&A.
I'm glad that you were able to resolve your issue and thank you for posting your solution so that others experiencing the same thing can easily reference this! Since the Microsoft Q&A community has a policy that "The question author cannot accept their own answer. They can only accept answers by others ", I'll repost your solution in case you'd like to "Accept " the answer.
Issue:
Entra ID authentication Methods enable only FIDO and Authenticator, however, Global Admin continue seeing Phone and email.
Solution:
Any user with admins role will be in scope for SSPR "Administrator Policy"
I tried the article to remove administrator from this SSPR "administrator policy" I don't want admins has SMS or Phone call or email.
If I missed anything please let me know and I'd be happy to add it to my answer, or feel free to comment below with any additional information. If you have any other questions or are still running into more issues, please let me know. Thank you again for your time and patience throughout this issue.
Thanks,
Navya.
Please remember to "Accept Answer" if any answer/reply helped, so that others in the community facing similar issues can easily find the solution.