/**
 * Remove from admin the short description field
 */
function remove_short_description() {
remove_meta_box( 'postexcerpt', 'product', 'normal');
}
add_action('add_meta_boxes', 'remove_short_description', 999);


/**
 * Remove from admin the full description
 */
add_action( 'add_meta_boxes_product', 'remove_metaboxes_edit_product', 9999 );
 
function remove_metaboxes_edit_product() {

	// remove woocommerce product description
	remove_meta_box( 'woocommerce-product-data', 'product', 'normal' );

	// remove woocommerce product data
	remove_post_type_support( 'product', 'editor' );
 
}