After spending the entirety of his youth career and the first four seasons in the Ligga with Kalpa, Lyytinen left the club in signing a one-year deal with fellow Finnish club, Oulun Kärpät, on May 2, 2017.[2] However, on June 16, 2017, Lyytinen agreed to a two-year, entry-level contract to join draft club, the Nashville Predators.[3]
During the final year of his entry-level contract in the 2018–19 season, having failed to make an impression with the Predators' American Hockey League affiliate, the Milwaukee Admirals, Lyytinen was placed on waivers in order for a mutual termination of his contract on December 28, 2018.[4] Returning to Finland as a free agent, Lyytinen was signed to a three-year contract with HIFK of the Liiga on December 30, 2018.[5]
In his fifth year with HIFK, Lyytinen made 7 appearances in the 2022–23 season before leaving the club and moving to the SHL in joining Swedish outfit Timrå IK on a two-year contract on 19 October 2022.[6]