The midfielder has been with the French champions for five years but, following the arrival of Grzegorz Krychowiak from Sevilla, he is ready to move on.
Several clubs have reportedly already informed PSG of their interest in the France international, including Chelsea, Juventus and Manchester United.
And, according to Sky Italia, Matuidi is ready to tell his employers that he wants out before the transfer window closes at the end of the month.
The 29-year-old will reportedly meet with PSG's owners in the coming days to tell them his plans.
After being a loyal servant, the club are ready to let him go if someone hands over around £35million.