Regardless of how the Reds plan to shift players if Cozart leaves, I don't think there is a huge market for him in the first place - He's 32 and has injury history, including this season when he played 122 games. He's not worth $17 million in my opinion but I'd love to know what the Reds and others perceive as his worth on the open market.
I predict they will not offer him a QO but will (and likely have had) ongoing discussions about bringing him back.