For card refunds, the typical shape is: the merchant (or processor) releases the refund quickly, and then your bank sits on it for another 5–10 business days before it actually shows up on your statement. So if it's been under a week since the refund was approved, nothing has necessarily gone wrong yet — you're likely just in the slower half of the process.
What's worth doing now is getting the refund ID (or reference number) from OpenRouter support. With that in hand, you can ask your bank directly about its status instead of waiting blind, and you'll have proof to escalate with if it does pass 10 business days.
This timeline applies specifically to card refunds; it's a bank-side process ROZO has no visibility into or control over.