I seem to remember that this is a setting when making SWF files, but I read in your other post that you're making a standalone (executable) and I'm not sure what applies there.
For now I am taking Director MX files that were used for slide presentations and converting them to Flash CS4 presentations. The problem is I can't control right mouse clicks for movement through the presentations. I can control movement forward and back with the keyboard arrows, but most of our instructors use an air mouse for presentations.
This link might help:
There's a script that will disable most of the options on the menu (not what you're looking for, unfortunately), the mention of a couple of options for programs that will disable the menu completely (no personal experience with those!), and most intriguing, an undocumented feature that will "trap" right mouse clicks. You might want to look into that final option - since if you can trap it, you could also probably trigger another function with that same action. (Sorry if my actionscript terminology isn't the clearest, but I'm sure you get what I'm saying!)
You can't turn off the right-clcik menu altogether in Flash Player. (There is no default r-click menu in AIR).
As a workaround, perhaps if the mouse is in the left side of the screen, you can go to the previous slide and if its in the right side, go to the next slide?