Victor,

assuming you mean if a test suite can be executed as a result of a work item status change in principle this is possible. The RTC Extension Workshop shows example of starting builds or other actions on work item save:
https://jazz.net/library/article/1000
I suggest to use this as a starting point and decide whether server side REST API call can be used to execute Test Suite or whether to trigger a "build" (i.e. an automated execution of a custom action) and use client side code in a RTC build toolkit ant task to trigger. Since test automation tools can be integrated with RQM this should be doable.
To find out how to build a custom RTC build toolkit ant task please see https://ryehle.wordpress.com/2011/12/21/adding-a-custom-ant-task-to-your-build-toolkit/

If any of this is helpful to create what you need please mark this answer as accepted.

- Arne