Rossbach played youth football for Brevik and 3. divisjon football for Urædd, but joined Odd after the 2011 season.[2][3] He made his senior league debut in September 2013 in a 5–1 win against Aalesund as André Hansen was injured.[4]
Before he joined Odd back in 2011, he was offered a 4-year deal with Manchester United, but he had to decline as a result of an operation in his ankle. He was considered one of the most talented goalkeepers in Norway. Following the sale of André Hansen to Rosenborg BK in 2015, Rossbach was appointed to be the new goalkeeper at the age of 19.
After the 2023 season, Rossbach signed with Stabæk on a two-year contract.[6]
Personal life
He is a son of former Norway international goalkeeper Einar Rossbach.[7] Rossbach is a member of the Norwegian supporters club of English football club Portsmouth F.C.[8]