We are still under consideration for this feature. In the meanwhile, could you use Azure CDN to accomplish this?
Still no news to share, just to add that we are investigating options on modifications for the App Service multi-tenant offering with enhanced capabilities.
We’ll definitely do thisDirk Slabbert commented
Any update on this feature. Would be extremely useful.
This remains on our long-term backlog as something we want to offer
For now we recommend trying Azure Firewall as the prefered solution to control outbound to Internet