The Brazil international, 28, has been heavily linked with a move to Camp Nou from Parc des Princes this summer.
The Barca utility man claims that his compatriot is keen to join the Catalans but appears stuck at PSG due to only having joined last season.
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"If it were up to Thiago, he'd be here but it doesn't just depend on him. PSG have also invested heavily in him and, if Barca want him, they need to find an agreement with the club.
"We had more injuries last year than other seasons but these things happen. Whomever comes in to help us will be a welcome addition."
However, Silva's agent, Paulo Tonietto, was quick to offer a rebuttal and denied that there is a move to the Blaugrana for the defender in the pipeline.
The representative wrote on Twitter: "Thiago Silva and his agent Paulo Tonietto deny the information referring to the transfer of the player to Barcelona."