You can fetch all WooCommerce orders of a single customer by different parameter.
Here you can find all orders of a customer by email id.
Use the following to fetch all orders of a single customer in WooCommerce by email ID.
You have to replace customer email id instead of ‘CUSTOMER_EMAIL_ID_HERE’.
$billing_email='CUSTOMER_EMAIL_ID_HERE';
$customer_orders = get_posts( array(
'meta_key' => '_billing_email',
'meta_value' => $billing_email,
'post_type' => 'shop_order',
'post_status' => array_keys( wc_get_order_statuses() ),
'numberposts' => -1
));
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