That's up to the LBA. I could very well be that the pilots are grounded until the investigation is complete. Last I heard about the co-pilot who landed the A320 in HAM is that (s)he still waiting to get her license/permission back to fly. Silent lips from LH on that issue ...
edit
I am not even sure if this plane was piloted by LH or contract pilots. There used to be quite a few contractors over there.