The Brazilian has been linked with a move back to Barcelona this summer, two years after his world record €222 million move from the Camp Nou.
"It's between him and the club," Verratti said to RMC Sport, as reported by Marca.
"Although the club mustn't try to keep a player that realistically wants to leave.
"According to the conditions put in place by the club, of course, but you don't keep a player that wants to leave.
"I'd prefer that Neymar stays with us. I've never heard him say that he wants to leave. But I don't know what he's said to the club.
"It would be disappointing to see him go, but he suffered his latest injury in [Brazil] and went through difficult moments in his personal life."
Verratti himself was linked with a move to Barcelona in 2017 and explained how his stay in Paris came about.
He said: "At the time, I needed explanations from PSG, because I'd seen things that weren't appropriate for a club that wants to win big trophies. Now I'm glad that I stayed."
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