Hi Ayush Mishra •,
Welcome to Microsoft Q&A forum.
As I understand, you are not able to see Oracle connection type in Azure Data Studio after enabling Oracle extension.
Could you please let us know if you are installing extension same as below:
You should see Oracle as one of the Connection type as shown above.
If not, please try to update Azure Data Studio and see.
Please share screenshots so that we can further investigate.
Thanks