Upon joining the Devils, Parenteau joined the likes of Sergei Nemchinov, Arron Asham, and Kevin Weekes as being one of a few players to complete the Hudson River Triple (being a member of the Rangers, Islanders and Devils). In the 2016–17 season, Parenteau continued his scoring rate in producing 13 goals and 27 points in 59 games.
Upon joining the Devils, Parenteau joined a select group of players including Sergei Nemchinov, Arron Asham, and Kevin Weekes as one of only a few to accomplish the Hudson River Triple (being part of all three teams: Rangers, Islanders, and Devils). In the 2016–17 season, Parenteau continued his scoring success by producing 13 goals and 27 points in 59 games.