According to the docs is now possible run an asp.net core docker container on a linux app service.
https://learn.microsoft.com/en-us/azure/app-service-web/app-service-linux-using-custom-docker-image
I created a simple asp.net core 1.1 web api and followed the steps to run it. On the log, it says my app started, but I can't access. Anyone tried to run the same ?!
My Dockerfile:
FROM microsoft/dotnet:latest
COPY src/WebApi/bin/Release/netcoreapp1.1/publish/ /root/
EXPOSE 5000/tcp
WORKDIR /root
ENTRYPOINT dotnet WebApi.dll