We support all versions of .NET Core in framework-dependent (FDD) mode on the IIS 8.5 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.
.NET Core versions currently supported:
1.0.0, 1.0.1, 1.0.4, 1.0.5
1.1.0, 1.1.1, 1.1.2
2.0.0, 2.0.3, 2.0.5, 2.0.6
2.1.0, 2.1.1, 2.1.2, 2.1.3