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"It is what it is," Miller told MLB.com's Jeff Nelson on Saturday. "We always have curiosity about it. You're intrigued by it, but I like playing for the Yankees. That's where I hope I'm at, but I have no control of it. So whatever happens, happens, and I'll make the most of it, but for now I'm a Yankee and that's where I want to be."
Miller secured 36 saves in 38 opportunities and posted a 2.04 ERA for New York this past season, his first as a full-time closer. He has $27 million remaining on his contract.
The Astros and Dodgers have been among the teams reported to have shown interest in trading for the 30-year-old, though Houston acquired closer Ken Giles from the Phillies this week. Thus far, general manager Brian Cashman has not found a match to his liking.
"We set a high standard on the assets that we have, and he's a big one," Cashman said at the Winter Meetings. "That's the arena that we would be talking about in a conversation involving him. I expect him to be a part of our team, that's why we signed him, but it doesn't hurt to go through a process to make sure that there aren't opportunities that are worth exploring for us."
The Yankees are seeking to upgrade their starting rotation and bullpen in the wake of trading right-hander Adam Warren to the Cubs and left-hander Justin Wilson to the Tigers last week. Cashman said that the emergence of All-Star right-hander Dellin Betances allows the Yankees to seriously entertain offers for Miller.
For his part, Miller said that he is keeping his objectives simple for 2016.
"Just hoping to get better, that's always the goal," Miller said. "Get better every time out and get better every year. I feel like I'm working hard towards that right now and hopefully that's the goal for next year."
Bryan Hoch is a reporter for MLB.com. Follow him on Twitter @bryanhoch, on Facebook and read his MLBlog, Bombers Beat. This story was not subject to the approval of Major League Baseball or its clubs.