The 22-year-old had been linked with a move away from the Spanish champions in recent months, and his fine performances at the European Under-21 Championship - including a hat-trick in Friday's 4-2 final victory over Italy - has prompted a sudden surge in speculation.
Yet his Barca team-mate has urged the club to do everything they possibly can to keep Thiago in Catalunya, although he appeared to remind the Italy-born ace that his predecessors also had to wait their turn before establishing themselves in the first team.
"There is a possibility that he can go, but we have to convince him that the best place for him is the club [Barcelona]," Pique told reporters.
"The players currently in starting positions were patient [for their turn] and have since marked an era."
Pique then paid tribute to Blaugrana colleague Carles Puyol, following the centre-back's return to the operating table to solve a long-standing knee problem, and Spain compatriot Iker Casillas, for his "surprising" performance against Uruguay in the Confederations Cup.
"When he is fit, he remains one of the top five centre-backs in the world," noted the former Manchester United man.