Hello @Aditi Sharma.
Thank you for posting your query on Microsoft Q&A.
Unfortunately, proxy connector logs cannot be exported at this time, so performance counters remain the best available option. Transaction metrics are collected for each connector and can be monitored using performance counters under the object name Microsoft AAD App Proxy Connector. Please refer to the screenshot below for more details.
Reference: Microsoft Entra ID limits
If you'd like to review the session log, which includes all transactions and their processing details, you can refer to the documentation here: Under the Hood - Entra Microsoft Entra private network connector.
The session log is typically used for troubleshooting and is disabled by default. You can enable it to start collecting events and disable it once it's no longer needed.
I hope this information is helpful. Please feel free to reach out if you have any further questions.
If the answer is helpful, please click "Accept Answer" and kindly upvote it. If you have extra questions about this answer, please click "Comment".
Thanks,
Raja Pothuraju.