"Some guys want to stay on a losing team? That's mind-boggling to me," Papelbon said, via Philly.com. "I think that's a no-brainer."
Papelbon has only blown two saves this season, boasting a 1.24 ERA and holding batters to a .175 average against him.
He is making $13 million this season and is owed $13 million in 2015 but had mixed feelings when asked if he hopes a winning team would trade for him.
"Yes and no," Papelbon said. "You know, I came here for a reason ... and I say that because I'm with a group of guys in the bullpen that can do very special things in the future. I've been waiting for that, you know what I mean? It's fun to be a part of that, it really is. We are there finally with our bullpen. So that aspect of it would kind of [stink] to leave. But at the same time, winning is the cure-all of cure-alls."
Philadelphia has won three games in a row, but sit at 40-51, 10 games behind the Washington Nationals in the National League East.