He started on the bench, but replaced Gustav Therkildsen in the 89th minute in a 1–0 victory against Aalborg in the Danish Cup.

[2] He played his first league game on 17 April 2016, where he came on the pitch in the 65th minute, replacing Jeppe Kjær, in a 2–0 victory against Næstved BK.

[4] He was the youngest player ever for Lyngby Boldklub, to have played a match in the Danish Superliga, at the age of 17 years and 115 days.

On 30 June 2018, Odgaard was transferred to Serie A team Sassuolo, however Inter Milan reserved the right to buy him back.

[9] On 22 January 2021, Odgaard joined Serie B club Pescara, on a loan until the end of the season.