There is no tracking software for COVID-19 on your phone and never has been. There is a hook function (an API, or Application Programming Interface) that allows you to install a TRACING (not TRACKING) app on your phone that tells you if you have been near other people with the same app who have reported to the app that they may be infected. It does not tell you where you were near them, and doesn’t tell you who they were. And vice versa. If you don’t install the app, or don’t turn on the API, for all practical purposes it doesn’t exist.
However, if you are so concerned about being tracked, why do you have a cell phone at all? As long as you have a phone you are tracked constantly. And not anonymously, like the COVID-19 API is.