Yes, WooCommerce can help with this. You can use WooCommerce Analytics → Revenue/Orders and filter or export your orders by billing/shipping country, then total the qualifying sales for EU countries. For a more convenient country-by-country report, there are also WooCommerce reporting extensions that provide sales by country.
One thing to double-check, though: the €10,000 EU threshold depends on the type and origin of your sales. It isn't simply a €10,000 limit for "imports into the EU." So I'd verify your specific situation before using that figure for VAT purposes.
Yes, WooCommerce can help with this. You can use WooCommerce Analytics → Revenue/Orders and filter or export your orders by billing/shipping country, then total the qualifying sales for EU countries. For a more convenient country-by-country report, there are also WooCommerce reporting extensions that provide sales by country.
One thing to double-check, though: the €10,000 EU threshold depends on the type and origin of your sales. It isn't simply a €10,000 limit for "imports into the EU." So I'd verify your specific situation before using that figure for VAT purposes.