You replied to an unrelated topic instead of making a new topic with your question, so it just got buried in the comments. I branched this into it's own topic and gave it a relevant title.
Flash Player supports MacOS 10.10 and higher. Flash Player is notifying you that you need to update, but your operating system is no longer supported, so your best option is to simply uninstall. Running an outdated Flash Player is a bad idea from a security perspective (as is running an outdated OS version). The last update available for MacOS 10.6 was 2011, so you're really hitting the end of this machine being viable for browsing the web (at least in any form that's reasonably secure).
Here's a link to the Flash Player uninstaller:
Uninstall Flash Player - Mac:
https://helpx.adobe.com/flash-player/kb/uninstall-flash-player-mac-os.html