The 37-year-old right-hander was designated for assignment on Saturday, likely closing another chapter of his career and leading him to wonder if another club will come calling.
"I'm sad, but this is business," Park said. "I understand. I just think about the next step. Hopefully, I can keep pitching. It's been a long time."
Park was 2-1 with a 5.60 ERA in 27 appearances for New York, allowing 40 hits and 22 earned runs in 35 1/3 innings. He walked 12 and struck out 29, working off a one-year, $1.2 million contract.
"The stuff is still good," general manager Brian Cashman said. "I think he can help somebody. For some reason, it just didn't translate here. But the ability and stuff are still there. Sometimes these things in bullpens are very volatile. For whatever reason, we couldn't get anything consistently going with him."
After 452 games (287 starts) in 17 big league seasons, the native of South Korea appreciates the chance to wear pinstripes.
"I had a lot of fun with the Yankees," he said. "If this is [the end] for my career, I got to play for the Yankees. I'm happy to get experience with the Yankees before I finished in the Major Leagues.
"Who knows? Maybe I've got a couple of years left. I think I've got some more."
The Yankees will ask newly acquired right-hander Kerry Wood to assume the role Park had filled.