Rossoneri fans were stunned when stories emerged from Brazil that he had told TV Esporte Interativo he was in negotiations with the Nou Camp side.
"I want to calm everyone straight away," agent Paulo Tonietto told Calciomercatoweb and the official Milan website.
"His words were distorted and came from his answer to a question that was badly interpreted by the interviewer and newspapers.
"Thiago Silva is very happy at Milan and only recently renewed his contract. If he did not intend to respect it, he wouldn't have renewed to 2016.
"Besides, at this moment he is probably the most expensive player in the world. There is absolutely nothing in this story.
"His only thoughts are for the Copa America this summer, then winning the Champions League with Milan. It won't be easy, but it is an important objective for the whole team."