Hello there,

Thank you for your question.

Try to add the following code to your child theme functions.php to display categories menu on the product page

add_action( 'wp', 'basel_page_title_single_init', 18 );

function basel_page_title_single_init() {
	add_action( 'basel_after_header', 'basel_page_title_single', 11 );
}
function basel_page_title_single() {
    global $wp_query, $post;
    if( ! is_singular( 'product' ) ) return;

	$style = '';

	$page_for_posts    = get_option( 'page_for_posts' );
	$page_for_shop     = get_option( 'woocommerce_shop_page_id' );
	$page_for_projects = basel_tpl2id( 'portfolio.php' );

	$title_class = 'page-title-';

	$title_color = $title_type = $title_size = 'default';

	// Get default styles from Options Panel
	$title_design = basel_get_opt( 'page-title-design' );

	$title_size = basel_get_opt( 'page-title-size' );

	$title_color = basel_get_opt( 'page-title-color' );

	$title_class .= $title_type;
	$title_class .= ' title-size-'  . $title_size;
	$title_class .= ' color-scheme-' . $title_color;
	$title_class .= ' title-design-' . $title_design;

?>
	<div class="page-title <?php echo esc_attr( $title_class ); ?> title-shop" style="<?php echo esc_attr( $style ); ?>">
		<div class="container">
			<div class="nav-shop">
				<?php basel_product_categories_nav(); ?>

			</div>
		</div>
	</div>
<?php
}