According to Barca president Josep Maria Bartomeu, the economic impacts of the global health crisis have impacted on transfers involving the Brazilian star and Inter Milan striker Lautaro Martinez.
In an interview with Spanish newspaper Sport, Bartomeu said: "Neymar? In this situation, it's unfeasible. Nor does PSG want to sell him.
"Barca have spoken with Inter about Lautaro, but the talks have stopped. The situation doesn't invite large investments."
Bartomeu revealed that Barcelona lost 200 million euros between March and June due to coronavirus and warned that it will have a lasting impact on European football.
The 57-year-old said: "All the big European clubs are affected. This isn't going to last a year, but three or four.
"If the situation of the pandemic doesn't improve, there will be no spectators, no museum, no stores open, and money will continue to be lost.
"It forces us to be very rigorous in management: we must review which investments are essential and which can wait."
Bartomeu has also confirmed that the Catalan club will take disciplinary action against Arthur, who failed to return to Barcelona following a holiday.
He said of the midfielder, who is set to join Juventus: "We reached the agreement that until the Champions League ended, he would continue playing for Barca. He could help us.
"But he didn't return from his mini-break so we have opened a file on him."