The team also has made it clear -- reiterating so at last month's NFL Scouting Combine -- that the quarterback won't be back, the Tennessean reported Tuesday.
"I would love to stay in Nashville. I would love to stay in Tennessee," Young told Chaney Entertainment, via the Tennessean. "If it doesn't happen, wherever God blesses me to be at I'll give 100 percent."
Young, who hasn't been released by the team, said he still considers himself a Titan in an earlier FoxSportsHouston.com interview that took place while he visited a Houston middle school. Young praised new Titans coach Mike Munchak, who was promoted after the departure of Jeff Fisher, with whom the quarterback clashed.
"I'm a big fan of Munchak," Young said. "I always call him Big Hall of Famer in the hallways and things like that. I have a lot of respect for him, and he has a lot of respect for me, so it's great. He deserves it. Like Coach Fisher said ... he's definitely the guy for the job."
Young said he is well on his way to recovery after having surgery on a torn flexor tendon in his right thumb, an injury he sustained during Week 10 last season.
"I just got cleared to do some more throwing now," Young said. "It's been going great."
When he is cut loose, Young said he has no idea where he might sign.
"I haven't the slightest idea," he said. "It's pretty much in the hands of my agent."