During the 1991-92 season, Chychrun was dealt again, this time to the Pittsburgh Penguins, along with defensemen Brian Banning and a 1st round draft pick in exchange for Paul Coffey.
In the 1991-92 season, Chychrun's team changed hands again, as he was dealt from one organization to the Pittsburgh Penguins, accompanied by defensemen Brian Banning and a first-round draft choice in return for Paul Coffey.