Before he played in the NHL, Pirri played in the Ontario Junior Hockey League for the Streetsville Derbys and the Georgetown Raiders. He also played at the Rensselaer Polytechnic Institute in the ECAC Hockey conference. He was drafted by the Blackhawks with the 59th overall pick in the 2009 NHL Entry Draft. He spends most of his time with the Blackhawks AHL farm team, the Rockford IceHogs.