The Italy international, who is set to play in tonight's Coppa Italia quarter-final at Napoli, has been strongly linked with a move to the Ligue 1 club this month.
"Tonight's game could be Thiago's last in Inter colours," said Motta's agent Dario Canovi to Radio CRC.
"The player has indicated his availability to PSG for the transfer.
"We have not spoken yet about the financial terms with the French club because an agreement between the two clubs is missing.
"Paris is one of the most beautiful cities in the world and PSG are a club who are trying to build one of the strongest teams in the world."
Inter are reluctant to sell Motta and club president Massimo Moratti claimed earlier this week he hoped the 29-year-old midfielder would remain at the San Siro.
The Brazilian-born Motta is under contract with the Nerazzurri outfit until June 2013.
He joined Inter in 2009 from Genoa and has scored three goals in 10 league appearances this season.