Ed Note: This article was put together with much input from the great OCC.
For a team to receive compensatory draft picks, it has to lose more free agents than it acquires. And as it currently stands, the Cowboys are looking to get one comp pick next year for losing Anthony Hitchens. That comp pick will likely be a fourth-rounder in the 2019 NFL draft.
Importantly, not every free agent lost or acquired automatically qualifies as a compensatory free agent. You can look up the full set of rules here, but for our purposes today, only two criteria are relevant: Players who have been cut by their team do not qualify as compensatory free agents and players signed after May 12th (previously June 1) won’t impact the number of comp picks for their former or new team.