We currently have TFS 2015 Update 3, and the web Test Hub seems very limited, especially when it comes to automated tests. You cannot run automated tests from it. I found this article, which seems to be very handy: Run automated tests from test plans in the Test hub, but it's only available in VSTS. Will this become available to on-prem TFS any time soon?
Thanks!
There are several Automated Testing features planning in future release according to the features-timeline, but the feature Run automated tests from test plans in the Test hub for TFS on-premise isn't mentioned.
As a workaround, you can link test cases to test methods with MTM or Visual Studio.Then run the test in Test Hub, and switch to Runs tab to view test results or run details.
Reference:
Besides, you can also execute Automated tests in Build vNext using Test Plan, Test Suites with Run Functional Tests task, please refer to below link for details. https://blogs.msdn.microsoft.com/visualstudioalm/2016/03/31/executing-automated-tests-in-build-vnext-using-test-plan-test-suites/