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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 |
|---|---|---|---|---|---|---|---|---|---|
| Ed Hammond | 2020-2020 | .133 | 0 | 1 | 0 | 0 | 0 | 0.00 | 0 |
| George Hampden | 2022-2022 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 2 |
| Haechan Han | 2021-2021 | .111 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Tae-sang Han | 2021-2023 | .282 | 5 | 25 | 0 | 0 | 0 | 0.00 | 0 |
| Alan Hardy | 2020-2021 | .277 | 1 | 19 | 0 | 0 | 0 | 0.00 | 0 |
| Ash Hardy | 2020-2020 | .000 | 0 | 0 | 1 | 12 | 0 | 5.06 | 94 |
| Christian Harris | 2022-2023 | .000 | 0 | 0 | 2 | 1 | 1 | 2.62 | 30 |
| Mike Harris | 2022-2023 | .000 | 0 | 0 | 15 | 17 | 0 | 3.55 | 198 |
| Tom Harris | 2021-2021 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Chase Hartsfield | 2022-2022 | .000 | 0 | 0 | 1 | 3 | 3 | 4.78 | 43 |
| Norberto Hartsoeker | 2021-2021 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 2 |
| Jake Hawkins | 2020-2020 | .000 | 0 | 0 | 6 | 4 | 0 | 3.34 | 115 |
| Raleigh Heller | 2021-2021 | .000 | 0 | 0 | 0 | 0 | 1 | 7.79 | 16 |
| Yannick Hendriksen | 2020-2020 | .257 | 5 | 36 | 0 | 0 | 0 | 0.00 | 0 |
| Shawn Hensley | 2021-2021 | .000 | 0 | 0 | 2 | 0 | 0 | 0.77 | 10 |
| Jacob Herman | 2021-2023 | .247 | 2 | 46 | 0 | 0 | 0 | 0.00 | 0 |
| Alfredo Hernández | 2020-2021 | .000 | 0 | 0 | 9 | 17 | 1 | 3.82 | 177 |
| Anastasio Hernández | 2023-2023 | .143 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Arturo Hernández | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| César Hernández | 2021-2021 | .000 | 0 | 0 | 1 | 4 | 0 | 3.97 | 34 |
| Claudio Hernández | 2022-2022 | .000 | 0 | 0 | 2 | 3 | 4 | 3.74 | 24 |
| Gabriel Hernández | 2022-2022 | .000 | 0 | 0 | 8 | 3 | 0 | 1.89 | 135 |
| Javier Hernández | 2022-2023 | .000 | 0 | 0 | 2 | 3 | 0 | 3.03 | 50 |
| Jesús Hernández | 2023-2023 | .000 | 0 | 0 | 0 | 2 | 0 | 2.57 | 35 |
| Jesús Hernández | 2021-2021 | .253 | 1 | 11 | 0 | 0 | 0 | 0.00 | 0 |
| José Hernández | 2022-2023 | .253 | 6 | 65 | 0 | 0 | 0 | 0.00 | 0 |
| Luis Hernández | 2020-2021 | .244 | 11 | 54 | 0 | 0 | 0 | 0.00 | 0 |
| Luis Hernández | 2021-2021 | .000 | 0 | 0 | 4 | 2 | 1 | 1.26 | 17 |
| Manuel Hernández | 2021-2021 | .000 | 0 | 0 | 0 | 0 | 0 | 3.86 | 0 |
| Miguel Hernández | 2020-2021 | .000 | 0 | 0 | 4 | 9 | 0 | 4.66 | 77 |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
| Paco Hernández | 2020-2020 | .000 | 0 | 0 | 6 | 2 | 2 | 2.22 | 62 |
| Roberto Hernández | 2023-2023 | .244 | 6 | 35 | 0 | 0 | 0 | 0.00 | 0 |
| Rubén Hernández | 2020-2022 | .272 | 7 | 34 | 0 | 0 | 0 | 0.00 | 0 |
| Vicente Hernández | 2020-2021 | .000 | 0 | 0 | 0 | 8 | 22 | 4.09 | 30 |
| Víctor Hernández | 2022-2022 | .242 | 2 | 41 | 0 | 0 | 0 | 0.00 | 0 |
| Juan Herrera | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 0 | 2.25 | 8 |
| Roy Herring | 2021-2022 | .301 | 3 | 29 | 0 | 0 | 0 | 0.00 | 0 |
| Tom Hibbert | 2020-2022 | .000 | 0 | 0 | 2 | 2 | 14 | 1.64 | 65 |
| Mike Hines | 2023-2023 | .337 | 1 | 16 | 0 | 0 | 0 | 0.00 | 0 |
| Dave Holgate | 2021-2021 | .000 | 0 | 0 | 0 | 1 | 1 | 3.38 | 10 |
| Stephen Hollingsworth | 2022-2022 | .000 | 0 | 0 | 0 | 1 | 0 | 2.57 | 3 |
| Jacob Holt | 2020-2020 | .217 | 0 | 6 | 0 | 0 | 0 | 0.00 | 0 |
| Anthony Hopkins | 2023-2023 | .250 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Ashley Horton | 2020-2020 | .000 | 0 | 0 | 3 | 4 | 3 | 3.89 | 20 |
| Ching-hsia Hsing | 2023-2023 | .000 | 0 | 0 | 0 | 0 | 0 | 2.70 | 0 |
| Oliver Huerta | 2022-2022 | .000 | 0 | 0 | 3 | 0 | 6 | 1.35 | 19 |
| Filip Huigen | 2023-2023 | .667 | 0 | 2 | 0 | 0 | 0 | 0.00 | 0 |
| Brandon Hynes | 2023-2023 | .000 | 0 | 0 | 0 | 0 | 0 | 2.30 | 12 |
| Young-hwan Hyon | 2020-2021 | .222 | 0 | 30 | 0 | 0 | 0 | 0.00 | 0 |
