"We're just not going to have as many four-hour games with Josh Beckett not throwing," the Yankees' catcher said, with a grin. "That's good."
The Yankees seemed as surprised as anyone by the deal, which was consummated on Saturday and sent Beckett, Adrian Gonzalez, Carl Crawford and Nick Punto to the Dodgers.
Boston received first baseman James Loney, infielder Ivan DeJesus Jr., right-hander Allen Webster and two players to be named in the swap.
"It's surprising," Yankees manager Joe Girardi said. "You're not used to seeing that many big names go in one trade -- a bunch of All-Stars, guys that have been in World Series and played at a very high level. You're not used to seeing that many people change teams."
Martin, who played with the Dodgers before joining the Yankees last year, said the trades are an indication that the front-office mindset is changing in Los Angeles under a new ownership group.
"I don't think anything would ever happen like that before," Martin said. "It's a lot of money being thrown around there. It's saying the Dodgers are serious. They want to go after it this year. It would be kind of cool to have an L.A.-New York World Series. For me, it would be."
Yankees reliever Derek Lowe, who has played in both Boston and Los Angeles, said that the wholesale changes in the Red Sox clubhouse may not be a quick fix for all of the turmoil that has surrounded Fenway Park this summer.
"Now, everybody is going to be coming to them saying, 'Hey, were they the No. 1 reason why you guys weren't winning?'" Lowe said. "Somebody may say something along the way. It's going to be an interesting five weeks."
The Yankees have two series remaining with the Red Sox. Though Boston is not competing for a playoff spot and the club will look much different for the Sept. 11-13 series in Boston and the Oct. 1-3 season-ending set in New York, Girardi said he still expects those games to be worth watching.
"I always feel that there's intensity, and I always say that a lot of it has to do with the fans," Girardi said. "The players understand those are important games. The Red Sox who have been around the club have the opportunity to knock us off, so I still think that it takes on a great big rivalry."