Paille was one of seven players that were recalled from AHL Hartford on Wednesday.
Paille was minus-1 with two shots on goal in a loss to Ottawa on Sunday.
Paille signed with the Rangers on Thursday, Sean Harnett of WFAN 660 reports.
Paille was released from his PTO with the Blackhawks on Monday, James Mirtle of The Globe and Mail reports.
Paille signed a professional tryout contract with the Blackhawks on Sunday, Darren Dreger of TSN reports.
He also finished with three shots on goal and a plus-two rating. Paille is not a fantasy option, with just five goals and 12 points through 63 games. Loui Eriksson, David Pastrnak, and Brad Marchand also lit the lamp for Boston on Sunday.
Daniel Paille skated on the third line in Boston's Game 2 victory against Montreal.
He scored his first goal of the postseason to open the scoring in the Bruins' 5-3 win. Paille logged 11:51 of ice time in his second game back from a suspected concussion. Jordan Caron skated on the fourth line in his place.
Daniel Paille is officially listed as a game-time decision for Game 1 against Montreal on Thursday night.
"Yesterday, and going into this morning's skate, I feel like I'm back to where I need to be," Paille said. He's healthy enough to play and he'll probably draw into the lineup after missing the opening round with a suspected concussion.
Daniel Paille (upper body) is expected to be available when Boston's second-round series against Montreal begins on Thursday.
Coach Claude Julien said that Paille should be back for Game 1 after he skated with the team on Tuesday.
Daniel Paille (concussion) received clearance to warm up with the team before Game 5.
He could be available to play at the start of Round 2 versus Montreal. Paille hasn't appeared in a game since April 12 when he suffered a suspected concussion against Buffalo.