The Brazil defender, 28, has been heavily linked with the Blaugrana, who see him as the main target to shore up an ageing backline.
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“There’s always this kind of speculation during the transfer period,” he told L’Equipe.
“I felt flattered because it means that my work with PSG is appreciated, but these things are normal.
“I am happy with PSG and the club is happy with me. There was no reason to jump ship. I appreciate president Nasser Al-Khelaifi as a friend, and I want to honour him.
“In fact, I am buying more and more into the project PSG are working on at the moment.”
The club have plenty of options in the centre-back position, with Alex, Mamadou Sakho, Diego Lugano and new €35 million (£30.2m) signing Marquinhos vying for a spot alongside Thiago in the starting XI.
The former Milan defender remains under contract with PSG until summer 2017.