If you want to run ReSharper inspections using a specific ReSharper version (e.g. to ensure it matches the version you have installed in Visual Studio), since TeamCity 10.0 you you can install another version of the tools and can change the default version to be used using the Administration | Tools page.
Agent requirement will be created for every checked item.
.Net Framework versions 2.0 - 4.7.2 are supported.
JetBrains ReSharper Command Line Tools Settings