Early career Askildsen began his career in
Heming, joining
Stabæk's academy in his late childhood. He joined the club initially as a goalkeeper, but converted to midfield whilst playing under the guidance of Stabæk's youth coach
Øyvind Leonhardsen.
Stabæk Askildsen made his debut for the senior team against
Ranheim in September 2018, and established himself as a starter in April 2019. On 21 June 2020, he made his debut with the club in an away 2–1 loss against
Inter Milan. He scored his first goal against
Milan in a 4–1 loss. In doing so, Askildsen became the first player born after the Millennium to score for Sampdoria.
Loan to Lecce On 17 July 2022, Askildsen joined
Lecce on a season-long loan.
Midtjylland On July 1, 2024,
Danish Superliga club
FC Midtjylland confirmed that Askildsen joined the club on a contract until June 2028.
Viking At the end of March 2025, Askildsen returned to Norway, signing with
Eliteserien club
Viking for four years. He made 27 appearances and scored three goals as Viking won the
2025 Eliteserien. == Career statistics ==