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| League History Index | Players | Teams | Managers | Leagues | Leaderboards | Awards | Accomplishments |
| Player | From-To | W | L | Pct | ERA | G | GS | CG | SHO | SV | IP | H | ER | HR | BB | SO |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Mathieu Hallé | 2039-2039 | 0 | 0 | .000 | 3.00 | 1 | 1 | 0 | 0 | 0 | 6.0 | 9 | 2 | 0 | 1 | 1 |
| John Hann | 2043-2043 | 0 | 0 | .000 | 4.91 | 1 | 0 | 0 | 0 | 0 | 3.2 | 5 | 2 | 0 | 2 | 2 |
| Darrell Harding | 2035-2039 | 1 | 0 | 1.000 | 0.00 | 2 | 1 | 0 | 0 | 0 | 6.0 | 6 | 0 | 0 | 4 | 7 |
| Guy Harris | 2047-2047 | 1 | 0 | 1.000 | 3.86 | 1 | 1 | 0 | 0 | 0 | 7.0 | 4 | 3 | 1 | 1 | 10 |
| Artie Hatch | 2039-2039 | 1 | 0 | 1.000 | 3.86 | 1 | 0 | 0 | 0 | 0 | 2.1 | 1 | 1 | 1 | 0 | 2 |
| César Hernández | 2043-2043 | 0 | 0 | .000 | 0.00 | 1 | 0 | 0 | 0 | 0 | 1.0 | 1 | 0 | 0 | 0 | 0 |
| Fernando Hernández | 2047-2047 | 0 | 0 | .000 | 0.00 | 1 | 0 | 0 | 0 | 1 | 1.0 | 0 | 0 | 0 | 0 | 3 |
| Félix Hernández | 2047-2047 | 2 | 0 | 1.000 | 0.00 | 2 | 2 | 0 | 0 | 0 | 14.1 | 6 | 0 | 0 | 2 | 21 |
| Jonathon Hernández | 2043-2047 | 0 | 0 | .000 | 0.00 | 2 | 0 | 0 | 0 | 0 | 3.2 | 2 | 0 | 0 | 0 | 5 |
| José Hernández | 2035-2035 | 0 | 0 | .000 | 3.86 | 1 | 1 | 0 | 0 | 0 | 7.0 | 8 | 3 | 1 | 0 | 6 |
| León Hernández | 2035-2035 | 0 | 1 | .000 | 1.80 | 3 | 0 | 0 | 0 | 0 | 5.0 | 5 | 1 | 1 | 1 | 10 |
| Lorenzo Hernández | 2039-2039 | 0 | 0 | .000 | 0.00 | 1 | 0 | 0 | 0 | 0 | 1.1 | 2 | 0 | 0 | 2 | 3 |
| Luis Hernández | 2047-2047 | 0 | 0 | .000 | 0.00 | 2 | 0 | 0 | 0 | 1 | 2.0 | 1 | 0 | 0 | 1 | 0 |
| Sergio Hernández | 2039-2047 | 0 | 0 | .000 | 0.00 | 6 | 0 | 0 | 0 | 4 | 7.2 | 2 | 0 | 0 | 2 | 12 |
| Bob Holland | 2039-2039 | 0 | 1 | .000 | 6.00 | 2 | 0 | 0 | 0 | 0 | 3.0 | 5 | 2 | 1 | 1 | 5 |
| Zhi Hoong | 2035-2039 | 1 | 0 | 1.000 | 7.71 | 2 | 1 | 0 | 0 | 0 | 9.1 | 13 | 8 | 1 | 8 | 9 |
