Add this code to your child theme’s functions.php file or via a plugin that allows custom functions to be added, such as the Dessky Snippets plugin. Please don’t add custom code directly to your parent theme’s functions.php file as this will be overwritten completely when you update the theme.

Disable all stylesheets
WooCommerce enqueues 3 stylesheets by default. You can disable them all with the following snippet:

add_filter( 'woocommerce_enqueue_styles', '__return_empty_array' );

Disable specific stylesheets
If you want to disable specific stylesheets (i.e, if you do not want to include the handheld stylesheet), you can use the following:

/**
 * Set WooCommerce image dimensions upon theme activation
 */
// Remove each style one by one
add_filter( 'woocommerce_enqueue_styles', 'jk_dequeue_styles' );
function jk_dequeue_styles( $enqueue_styles ) {
	unset( $enqueue_styles['woocommerce-general'] );	// Remove the gloss
	unset( $enqueue_styles['woocommerce-layout'] );		// Remove the layout
	unset( $enqueue_styles['woocommerce-smallscreen'] );	// Remove the smallscreen optimisation
	return $enqueue_styles;
}

// Or just remove them all in one line
add_filter( 'woocommerce_enqueue_styles', '__return_false' );