Read the terms of the ZDR policy with a critical eye. You’ll find that Anthropic retains almost arbitrary rights to retain anything it wants.

https://code.claude.com/docs/en/zero-data-retention

https://trustedrouter.com/models/moonshotai/kimi-k3 is a good option if you want that to actually be the case.

AFAIK there’s no ZDR with Claude models accessed directly via Anthropic. You’d have to go through either Google Vertex, Azure or AWS for true ZDR (at least legally/on paper).