Should absolutely stay beyond this season. He's slowing down but I completely agree. He is still a good footballer and someone that can take on people one on one and break deadlocks (that is quality you will struggle to find). So he remains useful at this presence.
He is versatile and could probably step in everywhere but DM, CB and target man upfront. Not saying he would be WC but useful. Even as a CM he will contribute more than most of our CMs.
Even if I do not see him as a starter (that includes this season)... and even if he slows down he is one of the experienced players we have that I want to have around the dressing room. Bonucci is poisonous in there (my feeling about his leadership) but Cuadrado is very good to have around youngsters. Keeps them grounded while still joking around. A good role model. He's a keeper that needs to stay around.
Honestly, given Nedved's role is presumably walking around and talking to people. I would even go as far as replacing Nedved with Cuadrado when he finishes his career, which he should finish here. I repeat. He should finish his career here if that is what he would like to do. We need to respect players that have contributed to the club for a long while. I agree with Dybala leaving, I understand it and the same with ADP but we need to have graceful farewells and not show them the door all the time. At least show the door, don't kick 'em out. Buffon should never have left.