ATLANTA -- The D-backs traded right-handed starter Brandon McCarthy to the Yankees on Sunday for southpaw Vidal Nuno. New York will also receive cash considerations.

Nuno will become the 11th rookie on Arizona's roster as McCarthy joins left-handed reliever Joe Thatcher as two veterans traded to American League postseason hopefuls by D-backs general manager Kevin Towers in the past two days.

"We're going to start retooling, it looks like," Arizona manager Kirk Gibson said. "A different mindset."

Meanwhile, the newest Yankee departed Atlanta on Sunday afternoon to join his new teammates in Cleveland. McCarthy is 12-10 with a 3.90 ERA in 29 starts and 38 appearances in total against the Red Sox, the Orioles, the Blue Jays and the Rays.

"At least it's an end to the rumors," said McCarthy, who had been at the center of trade speculation. "It's [nice] not having to think about it anymore. There's some finality there. It's still the Yankees, no matter what. Everybody knows the Yankees. If you don't know baseball, you know the Yankees. It's a worldwide known thing. That's a very, very cool thing."

McCarthy, who is 3-10 with a 5.01 ERA in 18 starts this season, adds a much-needed veteran presence to a New York rotation that will likely be without left-hander CC Sabathia for the remainder of the season, due to a right knee injury.

"You'd think it'd be weird emotionally to leave [Arizona], but it never felt like we were out of it, which was the weirdest thing here," said McCarthy of his time with the D-backs. "With the group of guys here, everybody kept being professional and working as hard as they could, so it doesn't feel like you're going from the depths of something to a pennant race.

"I feel like I'll probably go somewhere that feels like this. It's still guys being professional and working hard every day, but to know that there's a chance of playoffs and something even more is very cool."

The Yankees hope a return to the American League may trigger a turnaround for McCarthy, who has compiled a 4.75 ERA in 40 starts with Arizona since the beginning of last season. He went 17-15 with a 3.29 ERA and 29 quality starts in 43 outings with the A's from 2011-12.

"He came and he worked hard," Gibson said. "The results didn't match our expectations, and this happens when you get in situations like this. You wish him well. He wishes us well. He's had a tough year, yet he's got a new opportunity. He's been dedicated to what he's trying to do."

Although McCarthy's traditional numbers have suffered, his consistent FIP (fielding independent pitching) mark, which measures what a player's ERA should be if his batting average on balls in play and timing was the league average, likely intrigued New York.

McCarthy recorded FIPs of 3.67 and 3.76 during his banner seasons in Oakland before posting comparable numbers in Arizona with a 3.75 FIP in 2013 and a FIP of 3.79 this season.

"I feel like I'm in a good place now," McCarthy said. "I've kind go changed up the way I'm attacking recently, and there are some positives I've started to see. I still feel like I've thrown the ball well this year. I think now I've got a better strategy in line to set that up."

Meanwhile, the D-backs get a guy in Nuno who has struggled in an expanded role with the Yankees this season. He is 2-5 with a 5.42 ERA 14 starts. Nuno, who owns a 4.78 career ERA in 98 Major League innings, will start for Arizona on Tuesday.

"His regular day was Monday," Gibson said. "We thought about having him start on his regular day and then give Chase [Anderson] an extra day, but I thought it'd be better to let him come in and get acclimated a little bit for a day."