Sjølstad was brought up from Hamarkameratene's junior team in the start of the 2011 season and played three 1. divisjon games in his first season. His debut came on 28 September 2011 when Sjølstad came in as a 78th minute substitute in a 2–0 home win against Alta.
Hødd
In January 2016, Sjølstad signed a two-year contract with 1. divisjon side Hødd. He played 27 league games for the club who relegated to the 2. divisjon.