Since we've now properly covered the stun vs parting shot question....
See here: https://community.fantasyflightgames.com/topic/217971-stun-to-prevent-parting-shot/
FFG has been so kind to throw another interrupt into the mix.
So on Greedo, it says "When you declare an attack, the target may interrupt to preform an attack targeting you".
Presumably there's no reason this wouldn't trigger off a parting shot.
So now we have an interrupt attack within another interrupt attack.
Greedo declares attack
Figure A interrupts to perform attack against Greedo
Figure A's attack brings Greedo to zero health
Greedo triggers Parting Shot
Greedo declares target of Parting Shot (lets say Figure A again but it could be someone else)
Figure A attacks Greedo again.
Now here's where the fun starts. I don't think Figure A can do any more damage.... since he's already at zero health. Can you still do damage even if it doesn't remove health from a target?
Can this second Slow Draw attack trigger effects such as stun, blast, cleave (obviously recover is OK)?
If yes, then this attack would fully resolve before Parting Shot fully resolves, thus contrary to the previous example, a stun here could stop Greedo's parting shot.
Except that he's already started the attack.... and Stun prevents you from "attacking". What happens if you're already mid attack?
Depending on the result of the above questions.... The second slow draw is resolved (potentially including blast/cleave/etc, then Greedo's parting shot (if any) is resolved, the original Slow Draw is resolved (except there's now no target because Greedo is now defeated), but conditions such as blast and cleave would still happen (potentially twice).
Point is.... it's a stupidly weird interaction, probably requires clarification and really should have been avoided in the first place. Perhaps by something as simple as saying that parting shot can't trigger a Slow to Draw attack.