Lulu here from the Shopify Support team. Thanks for reaching out here, and I'll be more than happy to help you out.
There are a number of payment providers available in Italy that accept credit cards. You can find the complete list here. Once you choose which one you want, you can follow this guide to add the payment gateway to your store. Don't forget to check out our Shopify Academy, we have so many free short courses that are really informative. You can enrol at any time here.
I hope this helps but let me know if you have any other questions at all.
Lulu | Social Care @ Shopify
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