I've never understood why this part matters. It still comes down to how many teams are in the bidding and how much they want the player. Teams would know the Cowboys are shopping Parsons the second they call to discuss a trade, so why does it matter if it gets leaked ahead of time?
Its like the Amari Cooper situation all over again. Everyone said the low return was because the Cowboys leaked that they wanted to move him, but I think it had a lot more to do with a lack of interest from other teams in taking on a bigger contract right before free agency started.
Trading Parsons and getting at least a couple of first round picks back should be easy even for Jerry to not mess up.