I have experience with using Zephyr 2.0, it is one of the best testing tools in the market. What separates it from other tools is its collaborative & extensive testing features, slick UI, resource management ability, live dashboards etc.
There are a numerous way of implementing automated tests. Automatic execution requires the test management tool to be compatible with the tests themselves. To do so, test management tools may propose proprietary automation frameworks or to interface with third-party or proprietary automated tests.