The 30-year-old's future in the French capital has recently been questioned amid reports suggesting that the Ligue 1 champions are open to selling the Brazilian.
Such speculation is understood to have alerted a number of top European clubs including Chelsea, Manchester United, Newcastle United and Juventus.
However, Goal reports that Neymar is keen to stay at the Parc des Princes and is still determined to win the Champions League with PSG.
Newly-appointed head coach Christophe Galtier has also expressed his desire to keep the forward, who has recorded 100 goals and 60 assists in 144 appearances for the French giants since his £198m transfer from Barcelona in 2017.
Neymar, who has three years remaining on his PSG contract, has returned to the club for pre-season training and is focused on performing well for Galtier's side ahead of representing Brazil at the 2022 World Cup in Qatar later this year.