Thanks for reaching out to us, not pretty sure what do you mean by running your Azure OpenAI model in other environments?
But if you deploy your model in private endpoint it will be secure enough from some points. By establishing a private link, Azure OpenAI Private Endpoints provide a secure and efficient channel for transmitting data between your infrastructure and the OpenAI service, mitigating potential security vulnerabilities associated with traditional public endpoints. Please check on this blog if that is what you want - https://techcommunity.microsoft.com/t5/azure-architecture-blog/azure-openai-private-endpoints-connecting-across-vnet-s/ba-p/3913325
Please let us know if the process is not what you are looking for, we are happy to discuss further for this case.
Regards,
Yutong