Howto disable comment moderation emails for admins, but not for authors

you can make a plugin out of the following code that removes an email from the recipients list and network activate it

function wpse158530_filter_emails($emails,$cid) {

  if (count($emails) > 1) { // you don't want to remove yourself if you are the author as well as admin
  // based on http://stackoverflow.com/questions/17252880/remove-value-from-array-in-php
    if(($key = array_search(your email address, $emails)) !== false) {
      unset($emails[$key]);
    }
  }

  return $emails;
}

add_filter('comment_moderation_recipients','wpse158530_filter_emails',10,2);