You can use cn_cookie_notice_output filter that’s responsible for the notice output.
Add this to funtions.php in your theme:
function custom_cn_cookie_notice_output($output) {
if (is_front_page()) { // or is_home() if your home page displays blog posts, not static page
$output = '';
}
return $output;
}
add_filter('cn_cookie_notice_output', 'custom_cn_cookie_notice_output');