As @philshem explained, this is an ongoing research area especially with the COVID situation nowadays and it is a bit tricky at this early stage to find open-sourced datasets. Luckily, there are a couple such:
COVID-19 Open Source Cough Dataset
If those are ...
I wrote a python3 scraper for the https://coronatracker.at site that gets the individual states' data. The code is really a wrapper for the amazing pandas function .read_html(), which does basically everything by reading the table from the html.
The CSV could be cleaned up (e.g. splitting some columns that contain multiple data points together 42.545 +191 (0%...
This is a hot research topic. Best chance is to contact researchers, although medical audio recordings are going to be highly sensitive, so getting raw data is not so likely.
I found one app that asks users to submit voice samples.
It's funded by the EU, so there may be some initiative to make the data open: https://erc....