おそらく、ユーザーのマシンにオブジェクトをアタッチしてみてください。それが役立つように思われるオンラインのチュートリアルがあります:
http://corlan.org/2008/09/02/storing-data-locally-in-air/
サイトからの例:
//write an Object to a file
private function writeObject():void {
var object:Object = new Object();//create an object to store
object.value = asObject.text; //set the text field value to the value property
//create a file under the application storage folder
var file:File = File.applicationStorageDirectory.resolvePath("myobject.file");
if (file.exists)
file.deleteFile();
var fileStream:FileStream = new FileStream(); //create a file stream
fileStream.open(file, FileMode.WRITE);// and open the file for write
fileStream.writeObject(object);//write the object to the file
fileStream.close();
}