Kongsro played youth football at Eidanger and Odd, before starting his senior career with Pors in 2017. After two seasons with Pors, he moved to Ull/Kisa in 2019, where he spent another two seasons.[2] In March 2021, he signed a four-year contract with Bodø/Glimt.[3] On 27 June 2021, he made his Eliteserien debut in a 4–1 win against Stabæk.[2] In March 2022, he joined HamKam on a three-year contract.[4]
On 2 January 2025, Kongsro signed with Yverdon-Sport in Switzerland.[5]