[3] In January 2013, he moved to the second division team Önnereds HK, the club that he started playing handball as a junior.

In the semi-final game against Barcelona, he scored three goals after coming in as a substitute at 45th minute when Flensburg was down 24–29 and he played a crucial part in Flensburg's impressive 6–0 run in the final seven minutes of the regular time to force the game into an extra-time which also finished with a draw.

[5][6] In the 7-meter shootout, Wanne scored the decisive penalty against Danijel Šarić and sent his team to the Champions League final.

[5] Wanne did not take any part in the final match where Flensburg defeated their German rival THW Kiel 30–28 and reached the Champions League trophy for the first time in the club's history.

[10] Wanne made his international debut with Sweden men's national handball team against Germany on 18 March 2017.