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| League History Index | Players | Teams | Managers | Leagues | Leaderboards | Awards | Accomplishments |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
|---|---|---|---|---|---|---|---|---|---|
| Cal Haber | 2021-2023 | .000 | 0 | 0 | 9 | 3 | 2 | 2.67 | 118 |
| Gerald Hall | 2023-2023 | .000 | 0 | 0 | 0 | 1 | 0 | 9.45 | 5 |
| Jenkins Hall | 2022-2023 | .243 | 1 | 36 | 0 | 0 | 0 | 0.00 | 0 |
| Keith Hall | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 3 | 0.00 | 4 |
| Peter Hall | 2023-2023 | .000 | 0 | 0 | 0 | 1 | 0 | 2.33 | 22 |
| Tae-sang Han | 2020-2020 | .264 | 5 | 32 | 0 | 0 | 0 | 0.00 | 0 |
| Jim Hanson | 2023-2023 | .211 | 0 | 26 | 0 | 0 | 0 | 0.00 | 0 |
| Mike Hanson | 2020-2020 | .325 | 0 | 3 | 0 | 0 | 0 | 0.00 | 0 |
| Phil Hanson | 2020-2023 | .000 | 0 | 0 | 18 | 20 | 1 | 2.96 | 456 |
| Sean Harding | 2021-2022 | .000 | 0 | 0 | 1 | 0 | 3 | 5.79 | 7 |
| Aubrey Harris | 2021-2022 | .000 | 0 | 0 | 0 | 2 | 0 | 3.20 | 14 |
| Kelly Harris | 2023-2023 | .251 | 0 | 21 | 0 | 0 | 0 | 0.00 | 0 |
| Dan Hart | 2020-2020 | .200 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Norberto Hartsoeker | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 0 | 7.50 | 3 |
| Jack Hatcher | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Chris Hayes | 0-0 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Marvin Hayes | 2022-2022 | .263 | 1 | 2 | 0 | 0 | 0 | 0.00 | 0 |
| Benjamin Heijmans | 2023-2023 | .000 | 0 | 0 | 2 | 2 | 0 | 5.40 | 21 |
| Raleigh Heller | 2020-2020 | .000 | 0 | 0 | 3 | 0 | 0 | 3.79 | 17 |
| Chris Henry | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Kelly Henry | 2022-2023 | .000 | 0 | 0 | 2 | 10 | 0 | 4.55 | 62 |
| Shawn Hensley | 2022-2023 | .000 | 0 | 0 | 2 | 1 | 0 | 5.26 | 17 |
| Bernardo Hernández | 2020-2020 | .271 | 4 | 34 | 0 | 0 | 0 | 0.00 | 0 |
| César Hernández | 2020-2020 | .000 | 0 | 0 | 5 | 3 | 0 | 3.75 | 62 |
| Dani Hernández | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 5 |
| Eduardo Hernández | 2022-2022 | .000 | 0 | 0 | 0 | 1 | 0 | 2.51 | 17 |
| Iván Hernández | 2020-2021 | .261 | 1 | 46 | 0 | 0 | 0 | 0.00 | 0 |
| Javier Hernández | 2023-2023 | .214 | 1 | 19 | 0 | 0 | 0 | 0.00 | 0 |
| Javier Hernández | 2020-2021 | .000 | 0 | 0 | 3 | 11 | 17 | 3.34 | 77 |
| Jesús Hernández | 0-0 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
| José Hernández | 2020-2020 | .000 | 0 | 0 | 3 | 2 | 0 | 2.47 | 34 |
| Luis Hernández | 2020-2023 | .000 | 0 | 0 | 7 | 5 | 1 | 2.06 | 127 |
| Manny Hernández | 2023-2023 | .000 | 0 | 0 | 4 | 7 | 0 | 3.83 | 70 |
| Manny Hernández | 2020-2021 | .232 | 6 | 41 | 0 | 0 | 0 | 0.00 | 0 |
| Ramón Hernández | 2023-2023 | .234 | 1 | 9 | 0 | 0 | 0 | 0.00 | 0 |
| Sergio Hernández | 2023-2023 | .000 | 0 | 0 | 5 | 2 | 21 | 1.51 | 67 |
| Vicente Hernández | 2021-2021 | .317 | 5 | 27 | 0 | 0 | 0 | 0.00 | 0 |
| Xavier Hernández | 2022-2023 | .272 | 7 | 60 | 0 | 0 | 0 | 0.00 | 0 |
| Gabriel Herrera | 2022-2023 | .000 | 0 | 0 | 1 | 10 | 0 | 5.88 | 75 |
| Jesús Herrera | 2023-2023 | .228 | 0 | 25 | 0 | 0 | 0 | 0.00 | 0 |
| Dan Hobbs | 2021-2021 | .000 | 0 | 0 | 8 | 5 | 0 | 2.76 | 122 |
| Paddy Hodnett | 2021-2023 | .219 | 5 | 81 | 0 | 0 | 0 | 0.00 | 0 |
| Sherwood Hoffman | 2023-2023 | .143 | 0 | 1 | 0 | 0 | 0 | 0.00 | 0 |
| Aaron Holder | 2021-2021 | 1.000 | 0 | 1 | 0 | 0 | 0 | 0.00 | 0 |
| Glen Holland | 2020-2020 | .000 | 0 | 0 | 5 | 7 | 0 | 3.21 | 139 |
| Jordan Hollins | 2023-2023 | .257 | 4 | 33 | 0 | 0 | 0 | 0.00 | 0 |
| Bryce Honour | 2023-2023 | .239 | 5 | 21 | 0 | 0 | 0 | 0.00 | 0 |
| Ralph Horn | 2023-2023 | .000 | 0 | 0 | 1 | 5 | 4 | 2.83 | 28 |
| Nick Hoskins | 2022-2023 | .213 | 2 | 45 | 0 | 0 | 0 | 0.00 | 0 |
| Ron Howard | 2021-2023 | .259 | 2 | 22 | 0 | 0 | 0 | 0.00 | 0 |
| John Huff | 2021-2023 | .167 | 0 | 2 | 0 | 0 | 0 | 0.00 | 0 |
| Wynn Huggins | 2021-2021 | .000 | 0 | 0 | 0 | 0 | 0 | 2.70 | 3 |
| Earnest Hunt | 2020-2022 | .000 | 0 | 0 | 5 | 9 | 16 | 2.22 | 129 |
| Kelly Hyde | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 1 |
| Chang-keun Hyon | 2020-2020 | .000 | 0 | 0 | 1 | 0 | 1 | 2.30 | 7 |
