Undrafted, Kiviranta used his NHL-out clause with Sport to sign a two-year, entry-level contract with the Dallas Stars on 1 June 2019.

He helped send the Stars into the Conference Finals by scoring a hat-trick, including the game-winning overtime goal.

[6] He was released from the agreement on 5 October, but was invited to attend the training camp of the Avalanche's American Hockey League (AHL) affiliate, the Colorado Eagles.

In the playoffs, Kiviranta was originally slated to be a healthy scratch, however was inserted into the lineup through injury to Jonathan Drouin.

[12] Kiviranta was selected to make his senior international debut with Finland at the 2019 IIHF World Championship held in Bratislava, Slovakia.