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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 |
|---|---|---|---|---|---|---|---|---|---|
| Lenny Hacking | 2048-2048 | .417 | 4 | 33 | 0 | 0 | 0 | 0.00 | 0 |
| Shintaro Hagi | 2049-2049 | .407 | 0 | 29 | 0 | 0 | 0 | 0.00 | 0 |
| Teijo Hagman | 2048-2048 | .000 | 0 | 0 | 6 | 0 | 1 | 6.75 | 27 |
| Brit Hamilton | 2048-2049 | .313 | 6 | 85 | 0 | 0 | 0 | 0.00 | 0 |
| Alden Hargrove | 2048-2049 | .395 | 5 | 61 | 0 | 0 | 0 | 0.00 | 0 |
| Hsin Hark | 2048-2049 | .360 | 3 | 63 | 0 | 0 | 0 | 0.00 | 0 |
| Andy Harris | 2049-2049 | .382 | 3 | 40 | 0 | 0 | 0 | 0.00 | 0 |
| Jeremy Hathaway | 2048-2048 | .000 | 0 | 0 | 1 | 1 | 2 | 3.70 | 24 |
| Buddy Hawkins | 2048-2049 | .271 | 2 | 42 | 0 | 0 | 0 | 0.00 | 0 |
| Ryuichi Hayashi | 2048-2048 | .000 | 0 | 0 | 8 | 2 | 0 | 5.33 | 71 |
| Bill Hayden | 2049-2049 | .000 | 0 | 0 | 2 | 0 | 1 | 2.55 | 11 |
| Tom Hebert | 2049-2049 | .000 | 0 | 0 | 1 | 2 | 0 | 7.65 | 38 |
| Yan Hemminga | 2048-2048 | .000 | 0 | 0 | 0 | 1 | 2 | 6.97 | 1 |
| Andrés Hernández | 2049-2049 | .000 | 0 | 0 | 2 | 3 | 1 | 9.17 | 29 |
| Carlos Hernández | 2048-2048 | .000 | 0 | 0 | 2 | 1 | 0 | 3.79 | 16 |
| David Hernández | 2048-2048 | .406 | 2 | 45 | 0 | 0 | 0 | 0.00 | 0 |
| Freddy Hernández | 2048-2048 | .000 | 0 | 0 | 2 | 1 | 2 | 5.31 | 17 |
| Gustavo Hernández | 2048-2049 | .382 | 4 | 73 | 0 | 0 | 0 | 0.00 | 0 |
| Pedro Hernández | 2049-2049 | .400 | 1 | 24 | 0 | 0 | 0 | 0.00 | 0 |
| Vincente Hernández | 2048-2049 | .000 | 0 | 0 | 1 | 0 | 0 | 2.67 | 34 |
| William Hicks | 2048-2048 | .000 | 0 | 1 | 0 | 0 | 0 | 0.00 | 0 |
| Pete Hill | 2048-2048 | .398 | 0 | 37 | 0 | 0 | 0 | 0.00 | 0 |
| Lawrence Hobbs | 2048-2048 | .304 | 4 | 23 | 0 | 0 | 0 | 0.00 | 0 |
| Jonas Hoeks | 2048-2048 | .000 | 0 | 0 | 4 | 0 | 0 | 3.93 | 19 |
| Ricardo Hoera | 2049-2049 | .462 | 0 | 15 | 0 | 0 | 0 | 0.00 | 0 |
| Mitchell Hogg | 2049-2049 | .355 | 1 | 15 | 0 | 0 | 0 | 0.00 | 0 |
| Martin Holland | 2048-2049 | .307 | 0 | 15 | 0 | 0 | 0 | 0.00 | 0 |
| Aires Honig | 2049-2049 | .000 | 0 | 0 | 3 | 2 | 7 | 6.05 | 8 |
| Jussi-Pekka Hostikka | 2048-2049 | .000 | 0 | 0 | 3 | 0 | 13 | 4.65 | 22 |
| Jim Hrnjak | 2049-2049 | .317 | 4 | 26 | 0 | 0 | 0 | 0.00 | 0 |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
| Shi-kai Hsueh | 2049-2049 | .000 | 0 | 0 | 3 | 7 | 0 | 8.62 | 30 |
| Kuei-lin Huang | 2049-2049 | .000 | 0 | 0 | 2 | 0 | 0 | 13.50 | 20 |
| Mo Huang | 2049-2049 | .000 | 0 | 0 | 1 | 3 | 6 | 9.11 | 30 |
| Su-shun Hung | 2048-2048 | .346 | 3 | 28 | 0 | 0 | 0 | 0.00 | 0 |
| Forrest Hunt | 2049-2049 | .323 | 0 | 37 | 0 | 0 | 0 | 0.00 | 0 |
| Walter Hunt | 2049-2049 | .000 | 0 | 0 | 1 | 2 | 0 | 11.39 | 9 |
| Tai sun Huo | 2048-2048 | .000 | 0 | 0 | 7 | 2 | 0 | 3.84 | 73 |
| Hanskarl Hümmel | 2048-2048 | .491 | 1 | 12 | 0 | 0 | 0 | 0.00 | 0 |
