When you enable branch restrictions, only users or teams that have been given permission can push to the protected branch. For more information, see "Enabling branch restrictions" and "About protected branches." You can view and edit the users or teams with push access to a protected branch in the protected branch's settings.
You can only give push access to a protected branch to users or teams with write access to a repository.
People with admin permissions to a repository are always able to push to a protected branch.
Note: If "Include administrators" is selected, you've enabled required status checks on the branch, and if any status checks fail, any attempt to push changes to the protected branch will also fail, even for people with admin permissions. For more information, see "Enabling required status checks."