Signed as a free agent May 26, 2010, Zuccarello has 352 points (113 goals, 239 assists) in 509 regular-season games and 31 points (11 goals, 20 assists) in 60 Stanley Cup Playoff games, all with New York.
"We knew this day would come and you're talking about a special player and, as I have found out over my time here, a special guy too," Rangers coach David Quinn said.
In their first game since the trade, the Rangers again scratched defenseman Adam McQuaid and forward Kevin Hayes with the 2019 NHL Trade Deadline on Monday at 3 p.m. ET. Each player can become an unrestricted free agent July 1 and could be gone when the Rangers gather for practice on Tuesday.
"You want those guys in the locker room. You want to win with those guys," Zibanejad said. "It's a side of the business that you don't want to be a part of. You'd rather acquire guys at this time of the year. That's what we're hoping we can do next year."