The 22-year-old arrives at Victoria Park as a free agent after being released by Dundee at the end of last season.
He moved to Tannadice Park from Hayes & Yeading United in 2013.
Oyenuga started his career with Tottenham Hotspur before spells with clubs such as Bury and St Johnstone.
Hartlepool get their League Two campaign underway at home to Morecambe on August 8.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | York City | 21 | 13 | 5 | 3 | 43 | 19 | 24 | 44 |
| 2 | Barnet | 21 | 14 | 2 | 5 | 42 | 24 | 18 | 44 |
| 3 | Forest Green RoversForest Green | 20 | 12 | 6 | 2 | 38 | 17 | 21 | 42 |
| 4 | Gateshead | 21 | 11 | 5 | 5 | 37 | 27 | 10 | 38 |
| 5 | Oldham AthleticOldham | 19 | 10 | 7 | 2 | 33 | 17 | 16 | 37 |
| 6 | Rochdale | 19 | 10 | 3 | 6 | 28 | 18 | 10 | 33 |
| 7 | Sutton UnitedSutton | 21 | 9 | 5 | 7 | 29 | 26 | 3 | 32 |
| 8 | AltrinchamAltrincham | 21 | 8 | 7 | 6 | 35 | 28 | 7 | 31 |
| 9 | Solihull MoorsSolihull | 21 | 9 | 4 | 8 | 37 | 34 | 3 | 31 |
| 10 | Yeovil TownYeovil | 21 | 9 | 4 | 8 | 24 | 22 | 2 | 31 |
| 11 | Halifax TownHalifax | 21 | 8 | 7 | 6 | 21 | 19 | 2 | 31 |
| 12 | Hartlepool UnitedHartlepool | 21 | 7 | 8 | 6 | 24 | 24 | 0 | 29 |
| 13 | Eastleigh | 20 | 7 | 7 | 6 | 27 | 26 | 1 | 28 |
| 14 | Southend UnitedSouthend | 21 | 6 | 8 | 7 | 24 | 24 | 0 | 26 |
| 15 | Dagenham & RedbridgeDag & Red | 20 | 6 | 7 | 7 | 34 | 26 | 8 | 25 |
| 16 | Tamworth | 19 | 7 | 4 | 8 | 22 | 33 | -11 | 25 |
| 17 | Aldershot TownAldershot | 21 | 5 | 7 | 9 | 28 | 35 | -7 | 22 |
| 18 | Woking | 21 | 5 | 6 | 10 | 19 | 28 | -9 | 21 |
| 19 | Fylde | 21 | 6 | 3 | 12 | 25 | 41 | -16 | 21 |
| 20 | WealdstoneWealdstone | 20 | 4 | 8 | 8 | 22 | 29 | -7 | 20 |
| 21 | Braintree TownBraintree | 21 | 5 | 5 | 11 | 18 | 28 | -10 | 20 |
| 22 | Maidenhead UnitedMaidenhead | 21 | 5 | 4 | 12 | 26 | 43 | -17 | 19 |
| 23 | Boston UnitedBoston | 21 | 3 | 6 | 12 | 19 | 36 | -17 | 15 |
| 24 | Ebbsfleet | 21 | 1 | 6 | 14 | 15 | 46 | -31 | 9 |
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