There doesn’t appear to be a way to remove the “Connect Yoast SEO with Zapier to instantly share your published posts with 2000+ destinations such as Twitter, Facebook and more.” that clutters up the Publish meta box. Other options can be disabled in the Yoast SEO Integration settings however this one is disabled and unable to be changed without purchasing a subscription to their Premium package.

Add this to your functions.php file

add_action( 'admin_head', function ()
{
  echo '
  <style>
    div.misc-pub-section.yoast.yoast-seo-score.yoast-zapier-text {
      display: none;
    }
  </style>
  ';
} );

Related posts:

Skip the cart page and combine the cart and checkout pages Remove “Get the app” mobile messaging from WooCommerce Admin emails Remove WooCommerce DB Notices Move the Yoast WordPress SEO Meta Box below the Product Data Box