Because the speaking lessons need access to your microphone, the browser will ask you if the flash application (RocketChinese speaking lesson) can have your permission to control your microphone.
I checked into this and it is a very simple change outlined on the Adobe Website at the following link:
http://www.macromedia.com/support/documentation/en/flashplayer/help/help05.html#117121
In short here are the instructions:
Do I have to answer this question every time I run an application from this website?
No. You can use the Privacy Settings panel to allow or deny access to your camera and microphone for all applications from this website without asking you for permission each time. To display the Privacy Settings panel:
Right-click (Windows) or Control-click (Macintosh) the application image while it is running.
From the context menu, select Settings, and then click the Privacy tab.
Clicking the "remember" box removes the need to constantly give permission.
Enjoy.
Flash comments and instructions to remove permission headache

Jim-Jutte
October 16, 2013

Robert-C7
August 22, 2014
I discovered this the hard way and it works. Also, if you do this, the Play It test will start recording your voice.