У меня получилось))

Код AS3:
function setupAndLaunch(sh_name:String):void
{
var shFilePath:String= File.documentsDirectory.resolvePath(sh_name+'.sh').nativePath;
var cmdFile:File=new File('/bin/bash');
var processArgs:Vector.<String>= new Vector.<String>;
processArgs.push('-c');
processArgs.push('bash '+sh_name);
var nativeProcessStartupInfo:NativeProcessStartupInfo = new NativeProcessStartupInfo();
nativeProcessStartupInfo.arguments = processArgs;
nativeProcessStartupInfo.executable = cmdFile;
nativeProcessStartupInfo.workingDirectory = File.documentsDirectory;
process = new NativeProcess();
process.start(nativeProcessStartupInfo);
}
Дело в том что Shell Script запускается из AS3 не напрямую, а через bash.