Just figured this out after Google came up short. You can disable an AIR application’s system chrome maximize and minimize buttons by editing the ‘MyApp-app.xml’ file. Uncomment and set your values in the following options:

<minimizable>true</minimizable>
<maximizable>false</maximizable>
<resizable>false</resizable>


There are also a bunch of other options you can configure in here.

I have to say that so far I am loving AIR. Building, debugging and deploying to AIR with FB3 is seamless and fast. You want file system access? Easy. You want encrypted local data? Easy. You want byte-level control over network traffic? Easy. Recently Adobe is really taking it’s dev tools to the next level, especially when you compare against what was available just a few years ago.