Gorton said signing Vesey was a no-brainer.
"Any time a guy like this becomes available, we're going to try to be in the race, and we're really excited to have him," Gorton said. "... I think he's got an ability to score, he can make plays, he's a very talented player. ... What number? What line? I wouldn't want to go down that road and say yet, but I think he can come in and play."
Vesey could be a linemate of another player acquired by the Rangers this offseason, center Mika Zibanejad, who on July 18 was traded from the Ottawa Senators with a second-round pick in the 2018 NHL Draft for center Derick Brassard and a seventh-round pick in 2018.
"I want to have that goal or mindset to not just make the playoffs, but also go far and aim for the Cup. It's going to be exciting," said Zibanejad, who had NHL career highs of 21 goals, 30 assists and 51 points last season. "[I want] to be more of a threat to the other teams and having the opponents know that I'm out there, to be a big presence."
Gorton took some heat for trading Brassard, whose 27 goals led the Rangers last season, but he said Zibanejad has a lot of upside.
"He's just scratching the surface at age 23," Gorton said. "This is a younger player that is almost six years younger (than Brassard, 28), that's coming off two 20-goal seasons that we think is heading to the prime of his career. The ability to get him, to get a younger player, to get a guy that's fast, big, plays real well in his own zone, can do a lot of things for us, that's the exciting piece."
New York made several other moves to attempt to shore up its penalty kill, which ranked 26th (78.2 percent) in the NHL last season; in the previous two seasons, the penalty kill ranked sixth and third, respectively. Other players new to the Rangers this season include defenseman Nick Holden and forwards Michael Grabner, Josh Jooris, and Nathan Gerbe
"There's no secret our penalty-killing was not good, and some of the moves we made, if not all of them, have had some part in that," Gorton said. "We have to be better there. When we got a guy like Grabner or Gerbe, or to add Jooris or Holden … and now Zibanejad, yeah, that's a significant part of the game now, and for us to be in the top of the League is important.
"That's something we strive for and it didn't happen [last season], and I think it says so in all the moves that we made."