The Spain international will not depart the Catalan giants anytime soon, with former Brazil international Mazinho keen to see his son spend his entire career at Camp Nou
The midfielder broke into Barca's first team in the 2010-11 season, but it was only last term that he was able to cement his place in the squad, making 45 competitive appearances for the club.
He is currently not part of coach Tito Vilanova's pre-season plans as he continues to recover from a persistent shin injury, but Mazinho has ruled out the possibility of his son departing Catalunya.
"There has not been any offer for Thiago," Mazinho told COM Radio.
"He has a contract with the club until 2015 and I hope that he will stay at the club for many years and retire there.
"Everyone treats Thiago very well at Barca. In a couple of weeks, he will resume full training. It will not take him long to return to play.
"He worked hard during his holiday to be at the Olympic Games, so it is normal that he was sad when he learned he could not play in the tournament."
Thiago's brother Rafinha, meanwhile, has found it more difficult to make his mark at the Blaugrana, but Mazinho is confident the 19-year-old also has a bright future in front of him at Camp Nou.
"They were fortunate enough to play together in a Champions League match last season," Mazinho added.
"I hope they will be able to enjoy together Barca's wonderful football and that they will have more opportunities to play together this season."