@Ahmad, Jubair Thanks for your patience on this. I have checked with engineering team and posting the same here.
You can leverage Function App on Container App, this is a new experience in which everything would be managed from the Container App (with no Function App resource). You can add health probes directly on the Container App in this.
To get the new experience, the customer would create a Container App and select "Optimize for Azure Functions" in the creation wizard.
Refer to the below resources for more information.
- Samples for different Trigger functions and building an container image.
- Azure functions on Container apps.
- Use Azure Functions in Container Apps.
Hope this helps, let me know if you have any further questions on this.