I have found Google provides some guidelines on how to run Nodejs on a custom runtime environment. Everything seems fine and I am managing to start my Nodejs app on local machin
I'm sorry, but I only know a solution with node-inspector, I hope it can help you:
Run this inside your container (with docker exec, or docker-enter)
node-debug --web-host 0.0.0.0 yourScript.js
Go to http://localhost:8080/debug?port=5858