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.
When Parenteau joined the Devils, he became part of an exclusive club alongside Sergei Nemchinov, Arron Asham, and Kevin Weekes, having achieved the Hudson River Triple (being a member of all three teams: Rangers, Islanders, and Devils). During the 2016–17 season, Parenteau continued to excel on the ice, scoring 13 goals and accumulating 27 points in 59 games.