Hiirikoski left the ice during the opening period of Thursday's final Group A game against Canada, which Finland lost 5-0, with an upper body injury that requires surgery.
"It's a shame that the Games are left unfinished," Hiirikoski said in the statement.
"It has been a pleasure and an honour to be a part of this team. Good luck for tonight's game," she addressed her teammates.
Hiirikoski is a three-times bronze medallist and the 38-year-old won the Olympic Best Defenceman award twice.
Finland take on Switzerland later on Saturday for a place in the semi-finals (21:10 CET).
Follow that match and the rest of the women's competition on Flashscore.