Deployment of ASP.NET vNext Application to Azure Cloud Services
It's not supported yet but if you really want to you can do something like create a worker role setup script (which installs the kvm, kre etc.), then follow steps like this http://www.codeproject.com/Articles/331425/Running-an-EXE-in-a-WebRole-on-Windows-Azure to run it and bootstrap your aspnetcore50 app. It's not pretty or easy but it's the only way to run ASP.NET 5.0 stuff in a worker role at the moment.