Saltnes was born in
Brønnøysund. He made his senior debut for
Bodø/Glimt on 15 April 2012 against
Alta; Bodø/Glimt won 1–0. On 22 July 2021, he netted his first ever goal in a
European competition in a 3–0 win over
Valur in the first leg of their
UEFA Europa League second qualifying round tie. On 10 April 2025, Saltnes scored twice as Bodø/Glimt secured an historic 2–0 win over
Lazio in the quarter-finals of the
UEFA Europa League. On 17 April, Bodø/Glimt defeated Lazio in a penalty shootout in the second leg, becoming the first Norwegian club to reach the semi-finals of a European competition. On 1 May 2025, Saltnes continued his scoring run in the Europa League with a goal against
Tottenham Hotspur in a 1–3 first-leg semi-final loss. ==Career statistics==