Winhost supports all versions of .NET Core in framework-dependent (FDD) mode on the IIS 8 web servers.
If you have been running your Core projects in self-contained mode (SCD), changing to FDD should provide some level of performance increase as well as a decrease in isolated application pool memory use for most applications. The benefits will vary depending on the specifics of your application, of course.
If you aren't on an IIS 8 server that supports FDD .NET Core we can migrate your site to a newer server that does support it. Just open up a support ticket and let us know.
.NET Core versions currently supported: