Cook is in the final year of his contract, but we highly doubt the Titans would want to move him. They have not yet given up on the season at 3-5. If Cook leaves via free agency, they would receive a compensatory pick in return. Most importantly, he's still too valuable to their offense.
Cook might be unhappy about his role, but he still ranks second on the team with 28 catches and 373 receiving yards. We'd be very surprised if the Titans move him.