Guillermo Subirán I'm glad that your issue is resolved and thank you for posting your solution so that others experiencing the same thing can easily reference this!
Since the Microsoft Q&A community has a policy that the question author cannot accept their own answer, they can only accept answers by others, I'll repost your solution in case you'd like to Accept the answer.
Error Message:
I wanted to test the gpt-35-turbo-16k model, so I attempted to deploy it. However, I received a message stating that there was no quota available. I initially assumed that it might be due to an existing deployment of the gpt-35-turbo model, so I deleted it. Unfortunately, I encountered the same issue even after removing the previous deployment. Furthermore, I tried redeploying the gpt-35-turbo model but was unable to do so due to the same problem.
This is my actual quota:
And those are the models that I have deployed:
Solution:
As I mentioned earlier, In East US, 0613 model has been temporarily disabled due to the current investigations of customer reported issues. We expect this should be resolved in the next week.
After few days issue is resolved. In your case, work around was suggested to add a role assignment.
if you deploy the model with an account with subscription level permissions you will be able to deploy the models. In my case my user has resource group level permissions so I think is unable to "read" if there is enough quota available to do the deploy.
The documentation is also updated with more details on role clarity.
If you have any other questions, please let me know. Thank you again for your time and patience throughout this issue.