Here is a link to these rumors that which should be taken with a grain of salt since they are from, "sources." LOL
Many didn’t expect Aaron Rodgers to have played this season in Green Bay, and with how the season ended for the Packers in utter disappointment, just about everyone figures the future Hall of Famer will play Week 1 next season in something other than green and yellow. The speculation will run...
dailysnark.com
I suspect that nothing is happening at all.
If he is having a house built there at all for him that it could be a retirement home or a new place to live for now in between seasons while he plays for any other team than Titans.
He could also be having the house built for someone else and just has it and the land in his name or perhaps will rent or sell it. Like making a real estate investment.
He has not even met with the Titans organization that we know of.
When a player lives in the city he plays for I am not aware if they go to this much trouble.
I think or suspect they probably buy/rent a house or an apt. that is already built so that when they retire they sell it and move into their off season place permanently.