In the past few days, we've noticed that we can go through the setup process of a new payment and delivery info in 6 additional countries: Australia, Canada, France, Germany, Japan, and the UK. The process is similar in the US: you go to the Payments menu in your Google Assistant settings, Get started then agree to the terms, then add a payment method (credit or debit card) followed by a shipping address, which has to be in one of the six countries mentioned above - or the US, obviously.
Unfortunately, there doesn't seem to be anything you can use this payment method for yet. Purchases are still limited to the US and so are user payments. Maybe this is a sign that Google is working on expanding Assistant and Home purchases or payments outside the US (hopefully with an announcement at I/O), and maybe it's a bug and it shouldn't be showing up in any other country. We'll have to wait and see.