His agent talked in La Gazetta dello sport last weekend and said that Marco can't stay in Paris because he wants to win the Champions League.
His used to this kind of quotes because he said the same thing in October. He's only putting pressure on Paris because Marco and his agent are looking for consideration, that's all.
Marco Verrati is known in Paris for his bad behavior off the pitch (he was in a club the Saturday night before the Barca defeat 6-1) and his agent his putting pressure on PSG in order to protect himself from the medias.
His agent, friends and way of life are poor and he's putting the club under pressure because he doesn't want to change, and want to be like Ronaldinho was.
For the moment Paris and Marco still want to pair, but we're still not sure whether this would be the same in 4 months.
To finish, I don't think that Barca are automatic for him, don't forget that Ancelotti loves him, Guardiola is a big fan so does Zidane, so if he leaves Paris, it'll be them before us