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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| George Hampden | 2022-2022 | 0 | 0 | .000 | 0.00 | 3 | 0 | 0 | 0 | 0 | 3.1 | 2 | 0 | 0 | 0 | 2 |
| Ash Hardy | 2020-2020 | 1 | 12 | .077 | 5.06 | 14 | 14 | 1 | 0 | 0 | 89.0 | 98 | 50 | 7 | 31 | 94 |
| Christian Harris | 2022-2023 | 2 | 1 | .667 | 2.62 | 16 | 0 | 0 | 0 | 1 | 24.0 | 23 | 7 | 0 | 8 | 30 |
| Mike Harris | 2022-2023 | 15 | 17 | .469 | 3.55 | 38 | 37 | 2 | 0 | 0 | 246.0 | 281 | 97 | 17 | 60 | 198 |
| Chase Hartsfield | 2022-2022 | 1 | 3 | .250 | 4.78 | 17 | 5 | 0 | 0 | 3 | 49.0 | 59 | 26 | 3 | 21 | 43 |
| Norberto Hartsoeker | 2021-2021 | 0 | 0 | .000 | 0.00 | 3 | 0 | 0 | 0 | 0 | 2.0 | 3 | 0 | 0 | 1 | 2 |
| Jake Hawkins | 2020-2020 | 6 | 4 | .600 | 3.34 | 16 | 16 | 0 | 0 | 0 | 102.1 | 99 | 38 | 3 | 36 | 115 |
| Raleigh Heller | 2021-2021 | 0 | 0 | .000 | 7.79 | 6 | 0 | 0 | 0 | 1 | 17.1 | 27 | 15 | 2 | 4 | 16 |
| Shawn Hensley | 2021-2021 | 2 | 0 | 1.000 | 0.77 | 10 | 0 | 0 | 0 | 0 | 23.1 | 21 | 2 | 1 | 11 | 10 |
| Alfredo Hernández | 2020-2021 | 9 | 17 | .346 | 3.82 | 45 | 27 | 3 | 0 | 1 | 205.0 | 205 | 87 | 10 | 81 | 177 |
| César Hernández | 2021-2021 | 1 | 4 | .200 | 3.97 | 7 | 7 | 2 | 0 | 0 | 45.1 | 47 | 20 | 4 | 17 | 34 |
| Claudio Hernández | 2022-2022 | 2 | 3 | .400 | 3.74 | 24 | 0 | 0 | 0 | 4 | 33.2 | 38 | 14 | 1 | 25 | 24 |
| Gabriel Hernández | 2022-2022 | 8 | 3 | .727 | 1.89 | 17 | 17 | 0 | 0 | 0 | 109.1 | 96 | 23 | 4 | 34 | 135 |
| Javier Hernández | 2022-2023 | 2 | 3 | .400 | 3.03 | 16 | 8 | 1 | 0 | 0 | 59.1 | 70 | 20 | 1 | 26 | 50 |
| Jesús Hernández | 2023-2023 | 0 | 2 | .000 | 2.57 | 12 | 0 | 0 | 0 | 0 | 28.0 | 22 | 8 | 1 | 8 | 35 |
| Luis Hernández | 2021-2021 | 4 | 2 | .667 | 1.26 | 7 | 0 | 0 | 0 | 1 | 14.1 | 7 | 2 | 0 | 3 | 17 |
| Manuel Hernández | 2021-2021 | 0 | 0 | .000 | 3.86 | 1 | 1 | 0 | 0 | 0 | 2.1 | 3 | 1 | 0 | 2 | 0 |
| Miguel Hernández | 2020-2021 | 4 | 9 | .308 | 4.66 | 26 | 14 | 1 | 0 | 0 | 119.2 | 140 | 62 | 4 | 58 | 77 |
| Paco Hernández | 2020-2020 | 6 | 2 | .750 | 2.22 | 26 | 0 | 0 | 0 | 2 | 56.2 | 54 | 14 | 0 | 26 | 62 |
| Vicente Hernández | 2020-2021 | 0 | 8 | .000 | 4.09 | 39 | 0 | 0 | 0 | 22 | 33.0 | 33 | 15 | 3 | 18 | 30 |
| Juan Herrera | 2020-2020 | 0 | 0 | .000 | 2.25 | 13 | 0 | 0 | 0 | 0 | 12.0 | 4 | 3 | 0 | 5 | 8 |
| Tom Hibbert | 2020-2022 | 2 | 2 | .500 | 1.64 | 34 | 0 | 0 | 0 | 14 | 49.1 | 34 | 9 | 1 | 19 | 65 |
| Dave Holgate | 2021-2021 | 0 | 1 | .000 | 3.38 | 12 | 0 | 0 | 0 | 1 | 18.2 | 15 | 7 | 4 | 6 | 10 |
| Stephen Hollingsworth | 2022-2022 | 0 | 1 | .000 | 2.57 | 3 | 0 | 0 | 0 | 0 | 7.0 | 7 | 2 | 0 | 4 | 3 |
| Ashley Horton | 2020-2020 | 3 | 4 | .429 | 3.89 | 35 | 0 | 0 | 0 | 3 | 34.2 | 33 | 15 | 3 | 17 | 20 |
| Ching-hsia Hsing | 2023-2023 | 0 | 0 | .000 | 2.70 | 1 | 0 | 0 | 0 | 0 | 3.1 | 3 | 1 | 1 | 0 | 0 |
| Oliver Huerta | 2022-2022 | 3 | 0 | 1.000 | 1.35 | 24 | 0 | 0 | 0 | 6 | 20.0 | 17 | 3 | 0 | 6 | 19 |
| Brandon Hynes | 2023-2023 | 0 | 0 | .000 | 2.30 | 9 | 0 | 0 | 0 | 0 | 15.2 | 9 | 4 | 1 | 12 | 12 |
