If you have uploaded Google verification file to /public_html and Google still doest not verify it, please disable .htaccess file and then verify it again.
To disable .htaccess file, simply rename it to .htaccessold and repeat the process of Google verification, after that you can rename the .htaccess back.
Alternatively, you can use other methods to verify your website to Google Webmaster Tools: https://support.google.com/merchants/answer/176793?hl=en
