Orjan signed for Rangers in August 1967 from Dundee United and went on to play 112 first team games, scoring 31 goals. This included the only goal of the game on 16th September 1967 as Rangers defeated Celtic 1-0 at Ibrox in a league match in front of over 90,000 fans.
He would score 14 goals in 32 league appearances during his first season with the Club.
Representing Sweden on 48 occasions, Orjan appeared in the 1970 and 1974 FIFA World Cup Finals.
| Competition | Starts | Sub | Goals |
|---|---|---|---|
| League | 69 | 3 | 22 |
| League Cup | 13 | 1 | 4 |
| Scottish Cup | 10 | 0 | 3 |
| Europe | 16 | 1 | 2 |
| Other | 11 | 1 | 6 |
| Competitive total | 108 | 5 | 31 |
