Fleury, 37, was added to the list on Monday. He is 9-10-1 with two shutouts, a .913 save percentage and 2.86 goals-against average in his first season with the Blackhawks.
Chicago also moved forward Josiah Slavin from the taxi squad to its active roster. Forward MacKenzie Entwistle was shifted to the taxi squad, and goaltender Collin Delia was reassigned to Rockford of the American Hockey League.
The Blackhawks host the Calgary Flames on Sunday night.
The Rangers announced that Panarin was added to the list shortly before the start of their matinee against the Tampa Bay Lightning. He has 10 goals and 26 assists in 31 games this season.
The Lightning got goalie Andrei Vasilevskiy and forward Anthony Cirelli back from the COVID-19 protocol. Vasilevskiy, 17-4-3 with a 2.14 GAA, was added to the list last Sunday and missed three games. Cirelli, also back after missing three games, has nine goals and nine assists in 28 games.