acp/hide_renewal_notice

You can completely hide the renewal message with the filter acp/hide_renewal_notice.

renewal_notice

Place the following code in your theme’s functions.php to hide the renewal message.

/**
 * Hide all renewal notices
 */
add_filter( 'acp/hide_renewal_notice', '__return_true' );

Related filter

It is also possible to hide all site wide notices like review notice, missing addons etc by using the ac/suppress_site_wide_notices the same way as this filter.