Fiddler/Firebug for Adobe AIR?
air, apache-flex, fiddler
Solution
Wireshark will do that - it works at the network level, so it will work with any web technology.
The most important thing to know about is the right-click "Follow TCP/IP stream" command, which will show you your app's HTTP conversation.
Problem
How does one inspect the HTTP traffic in Adobe Air? Obviously because it's running outside of a browser you can't use firebug ... I've tried this: ServiceCapture but it doesn't work either... (nothing shows up in the log). I also don't really want to pay for a program. Any ideas?