You tagged this with Azure Container Instances, so I assume this is an ACI running Nginx. Please let me know if I am misunderstanding.
Depending on how you have setup ACI you will need to update the TLS settings in different locations.
Some examples below:
Enable a TLS endpoint in a sidecar container Azure Application Gateway Azure Functions Proxies Azure API Management
Check to see if these configurations apply to you and update the configuration as necessary to disable the older TLS versions.
If this doesn't help, please let me know and we can work with you directly to further investigate.
If you still have questions, please let us know in the "comments" and we would be happy to help you. Comment is the fastest way of notifying the experts.
If the answer has been helpful, we appreciate hearing from you and would love to help others who may have the same question. Accepting answers helps increase visibility of this question for other members of the Microsoft Q&A community.
Thank you for helping to improve Microsoft Q&A!