The Brazil international, who helped his country win the Confederations Cup earlier this month, is reported to be a target for the Spanish champions following an impressive first season in Ligue 1.
Silva joined PSG from Milan for a fee of £36 million last summer and finished the 2012-13 campaign as a champion of France.
Despite suggestions that a move to Camp Nou could be on the horizon, agent Paulo Tonietto says Silva has no intention of leaving Parc des Princes.
"Thiago Silva is a Paris Saint-Germain player," the agent told PSG's official website. "He has a contract and is going to respect it.
"Rumours are circulating today, just as they were last summer, but Thiago Silva is a Paris Saint-Germain player and he will see out his contract with the club."