Thanks for reaching here!
As mentioned in this article,
For App Service on Linux and Web app for Containers, persistent storage is rooted in /home.
When you persist storage with the WEBSITES_ENABLE_APP_SERVICE_STORAGE app setting, we mount a location in Azure Storage to the /home mount point. The permissions on this are 777.
You cannot change these permissions, even if you attempt to do so from an initialization script or from SSH.
Let us know if further query.