/**
 * For cart
 */
add_filter('woocommerce_cart_item_quantity', 'trueroman_min_kolvo_cart', 20, 3);

function truemisha_min_kolvo_cart($product_quantity, $cart_item_key, $cart_item)
{

  $product = $cart_item['data'];
  $min = 0;

  if (567 === $product->get_id()) { // товар с ID 500
    $min = 1;
  }

  return woocommerce_quantity_input(
    array(
      'input_name'   => "cart[{$cart_item_key}][qty]",
      'input_value'  => $cart_item['quantity'],
      'max_value'    => $product->get_max_purchase_quantity(),
      'min_value'    => $min,
      'product_name' => $product->get_name(),
    ),
    $product,
    false
  );
}