Using JBoss AS 7.1CRb I have defined the following Servlet AsyncListener:

@ManagedBean
public class AsyncServletListener implements AsyncListener {
    
    @Inject
    private AsyncBean asyncBean; 
    
    @Override
    public void onStartAsync(AsyncEvent event) throws IOException {
        System.out.println("onStartAsync");
    }
    
    @Override
    public void onComplete(AsyncEvent event) throws IOException {
        System.out.println("onComplete");
    }

    @Override
    public void onError(AsyncEvent event) throws IOException {
        System.out.println("onError");
    }

    @Override
    public void onTimeout(AsyncEvent event) throws IOException {
        System.out.println("onTimeout");
    }
}

I registered this listener on an AsyncContext as follows:

AsyncContext asyncContext = request.startAsync();
asyncContext.addListener(asyncContext.createListener(AsyncServletListener.class));

The listener is called correctly, but there's no injection happening. Everything is inside a single war and the mandatory empty beans.xml has been created. JBoss AS is indeed starting up CDI ("Starting weld service" appears in the logs).

If I run the same code in GlassFish, injection does happen.