WooCommerce product categories are displayed at the bottom of a product page just under the add to cart button.

remove woocommerce-product-categories

You can remove these from the layout by removing the woocommerce_template_single_meta action from the product summary, in your themes functions.php add in …

remove_action( 'woocommerce_single_product_summary', 'woocommerce_template_single_meta', 40 );

This will remove the categories aka product meta from the layout.

You can see a lot of these woocommerce hooks in the plugin woocommerce/includes/wc-template-hooks.php – our example above is originally is in this file highlighted.

 * Product Summary Box
 * @see woocommerce_template_single_title()
 * @see woocommerce_template_single_price()
 * @see woocommerce_template_single_excerpt()
 * @see woocommerce_template_single_meta()
 * @see woocommerce_template_single_sharing()
add_action( 'woocommerce_single_product_summary', 'woocommerce_template_single_title', 5 );
add_action( 'woocommerce_single_product_summary', 'woocommerce_template_single_rating', 10 );
add_action( 'woocommerce_single_product_summary', 'woocommerce_template_single_price', 10 );
add_action( 'woocommerce_single_product_summary', 'woocommerce_template_single_excerpt', 20 );
add_action( 'woocommerce_single_product_summary', 'woocommerce_template_single_meta', 40 );
add_action( 'woocommerce_single_product_summary', 'woocommerce_template_single_sharing', 50 );

So the action includes the hook and what function we are hooking into it and the priority number – so instead of editing here, you just simply remove_action the desired action in your functions.php including the priority number, the trick is finding out which one you need!


Removing WooCommerce Product Categories meta with CSS

As mentioned in the comments you can also do this with CSS.

.single-product div.product .product_meta {
    display: none;