1. Create a zip file of current websites folders/files
2. Create a website from the Azure portal.
3. Go to: https://{sitename}.scm.azurewebsites.net/DebugConsole
eg. https://alvartestsite1.scm.azurewebsites.net/DebugConsole
4. Navigate to: site/wwwroot
5. Drag & drop the current website’s zip file (html/js/css/…) onto the right side of the console (pop-up will show)
5. (browse to http://{sitename}.azurewebsites.net/ to see the site).
eg. https://alvartestsite1.azurewebsites.net
Further Reading:
Deploy your app to Azure App Service
What is Kudu? – Azure Web Sites Deployment
Exploring the Super Secret Kudu Debug Console – with David Ebbo