I don't think it would have done the alternator any favours. Possibly blown the diode/s. However, as advised, can't hurt to do the battery disconnect/reconnect action.
It is also possible, as the car runs, that the ECU is OK, and it is limping due to no alternator output - are there any warning lights on and/or messages on the SID?
Keep us posted. (sorry, in the matter of battery posts, there was no pun intended - that would have been too cruel)