| Starting Appearances - John Fraser | Starting | Sub (Used) | Sub (Unused) | All |
|---|
| 18 August 1961 | FRIENDLY | Easter Ross Select 4:7 Ross County | details |
| 26 August 1961 | Highland League | Nairn County 1:4 Ross County | details |
| 30 August 1961 | Highland League | Ross County 0:1 Caledonian FC | details |
| 02 September 1961 | Highland League | Inverness Clachnacuddin 2:2 Ross County | details |
| 09 September 1961 | Highland League | Ross County 1:1 Deveronvale | details |
| 16 September 1961 | Scottish Qualifying Cup | Ross County 5:0 Brora Rangers | details |
| 23 September 1961 | Highland League | Ross County 3:3 Rothes | details |
| 30 September 1961 | Scottish Qualifying Cup | Ross County 1:0 Lossiemouth | details |
| 07 October 1961 | Highland League | Peterhead 5:1 Ross County | details |
| 21 October 1961 | Highland League | Keith 6:0 Ross County | details |
| 24 March 1962 | Highland League | Lossiemouth 4:1 Ross County | details |
| 05 April 1962 | Highland League Cup | Caledonian FC 2:1 Ross County | details |
| 07 April 1962 | North of Scotland Cup | Ross County 4:1 Inverness Clachnacuddin | details |
| 11 April 1962 | North of Scotland Cup | Ross County 2:1 Caledonian FC | details |
| 16 April 1962 | Highland League | Elgin City 0:4 Ross County | details |
| 21 April 1962 | Highland League Cup | Inverness Clachnacuddin 1:0 Ross County | details |
| 28 April 1962 | Highland League Cup | Lossiemouth 2:0 Ross County | details |
| 05 May 1962 | Highland League | Forres Mechanics 1:2 Ross County | details |
| 12 May 1962 | FRIENDLY | Ross County 0:5 Heart of Midlothian | details |