You can either use Visual Studio’s deployment wizard or use the Azure’s control panel to create the application and deploy the same files you would deploy for an ASP.NET application. You can deploy using FTP or using the wizard.
I have included below the sequence from Visual Studio -> Build -> Publish. All I did was to authenticate, create a new app, click Next.
You an use the same wizard to deploy to IIS on a standalone server or on Azure if you are using a virtual machine or the web site service. It’s basically the standard deployment you’d follow for any web system.