Directory Structure

Program.cs
project.json
web.config

Program.cs

using System.IO;
using Microsoft.AspNetCore.Hosting;
using Microsoft.AspNetCore.Builder;
using Microsoft.AspNetCore.Http;

public class Program
{
    public void Configure(IApplicationBuilder app)
    {
        app.Run(async (context) =>
        {
            await context.Response.WriteAsync("Hello World!");
        });
    }

    public static void Main(string[] args)
    {
        var host = new WebHostBuilder()
            .UseKestrel()
            .UseContentRoot(Directory.GetCurrentDirectory())
            .UseIISIntegration()
            .UseStartup<Program>()
            .Build();

        host.Run();
    }
}

project.json

{
  "dependencies": {
    "Microsoft.NETCore.App": {
      "version": "1.0.0",
      "type": "platform"
    },
    "Microsoft.AspNetCore.Server.IISIntegration": "1.0.0",
    "Microsoft.AspNetCore.Server.Kestrel": "1.0.0"
  },
  "tools": {
    "Microsoft.AspNetCore.Server.IISIntegration.Tools": "1.0.0-preview2-final"
  },
  "frameworks": {
    "netcoreapp1.0": {
      "imports": [
        "dotnet5.6",
        "portable-net45+win8"
      ]
    }
  },
  "buildOptions": {
    "emitEntryPoint": true,
    "preserveCompilationContext": true
  },
  "runtimeOptions": {
    "configProperties": {
      "System.GC.Server": true
    }
  },
  "publishOptions": {
    "include": [
      "web.config"
    ]
  },
  "scripts": {
    "postpublish": [
      "dotnet publish-iis --publish-folder %publish:OutputPath% --framework %publish:FullTargetFramework%"
    ]
  }
}

web.config

<?xml version="1.0" encoding="utf-8"?>
<configuration>
<system.webServer>
    <handlers>
    <add name="aspNetCore" 
        path="*" 
        verb="*" 
        modules="AspNetCoreModule" 
        resourceType="Unspecified"/>
    </handlers>
    <aspNetCore processPath="%LAUNCHER_PATH%" 
        arguments="%LAUNCHER_ARGS%" 
        stdoutLogEnabled="false" 
        stdoutLogFile=".\logs\stdout" 
        forwardWindowsAuthToken="false"/>
</system.webServer>
</configuration>

Azure Web App Result

D:\home\site\wwwroot

    refs
    Microsoft.AspNetCore.Hosting.Abstractions.dll
    Microsoft.AspNetCore.Hosting.dll
    Microsoft.AspNetCore.Hosting.Server.Abstractions.dll
    Microsoft.AspNetCore.Http.Abstractions.dll
    Microsoft.AspNetCore.Http.dll
    Microsoft.AspNetCore.Http.Extensions.dll
    Microsoft.AspNetCore.Http.Features.dll
    Microsoft.AspNetCore.HttpOverrides.dll
    Microsoft.AspNetCore.Server.IISIntegration.dll
    Microsoft.AspNetCore.Server.Kestrel.dll
    Microsoft.AspNetCore.WebUtilities.dll
    Microsoft.Extensions.Configuration.Abstractions.dll
    Microsoft.Extensions.Configuration.dll
    Microsoft.Extensions.Configuration.EnvironmentVariables.dll
    Microsoft.Extensions.DependencyInjection.Abstractions.dll
    Microsoft.Extensions.DependencyInjection.dll
    Microsoft.Extensions.FileProviders.Abstractions.dll
    Microsoft.Extensions.FileProviders.Physical.dll
    Microsoft.Extensions.FileSystemGlobbing.dll
    Microsoft.Extensions.Logging.Abstractions.dll
    Microsoft.Extensions.Logging.dll
    Microsoft.Extensions.ObjectPool.dll
    Microsoft.Extensions.Options.dll
    Microsoft.Extensions.PlatformAbstractions.dll
    Microsoft.Extensions.Primitives.dll
    Microsoft.Net.Http.Headers.dll
    repository.deps.json
    repository.dll
    repository.pdb
    repository.runtimeconfig.json
    System.Diagnostics.Contracts.dll
    System.Net.WebSockets.dll
    System.Text.Encodings.Web.dll
    web.config