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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 |
|---|---|---|---|---|---|---|---|---|---|
| Matt Hall | 2050-2050 | .000 | 0 | 0 | 5 | 0 | 0 | 2.43 | 43 |
| Rob Hall | 2050-2050 | .223 | 2 | 7 | 0 | 0 | 0 | 0.00 | 0 |
| Marcus Hambley | 2048-2048 | .333 | 5 | 49 | 0 | 0 | 0 | 0.00 | 0 |
| Lyndon Hann | 2050-2050 | .290 | 5 | 22 | 0 | 0 | 0 | 0.00 | 0 |
| Aki Hara | 2050-2050 | .000 | 0 | 0 | 1 | 0 | 0 | 4.91 | 15 |
| Toshiki Hara | 2050-2050 | .000 | 0 | 0 | 5 | 2 | 3 | 4.25 | 40 |
| Randolph Harper | 2049-2049 | .500 | 0 | 3 | 0 | 0 | 0 | 0.00 | 0 |
| Leon Harpham | 2049-2049 | .000 | 0 | 0 | 1 | 3 | 10 | 9.78 | 7 |
| John Harrison | 2048-2050 | .309 | 6 | 36 | 0 | 0 | 0 | 0.00 | 0 |
| Gregory Hartman | 2048-2050 | .356 | 20 | 118 | 0 | 0 | 0 | 0.00 | 0 |
| Clifford Harvey | 2048-2050 | .291 | 4 | 31 | 4 | 0 | 2 | 3.53 | 40 |
| Sotaro Hayagawa | 2048-2048 | .411 | 1 | 33 | 0 | 0 | 0 | 0.00 | 0 |
| Sam Hayes | 2048-2048 | .333 | 0 | 5 | 0 | 0 | 0 | 0.00 | 0 |
| Tolutau Heketa | 2048-2050 | .200 | 0 | 1 | 7 | 8 | 2 | 5.60 | 109 |
| Yan Hemminga | 2050-2050 | .000 | 0 | 0 | 1 | 1 | 1 | 4.15 | 34 |
| Joe Henderson | 2048-2048 | .312 | 0 | 20 | 0 | 0 | 0 | 0.00 | 0 |
| Ronald Hensball | 2049-2050 | .000 | 0 | 0 | 2 | 12 | 6 | 6.48 | 44 |
| Freddy Hernández | 2050-2050 | .000 | 0 | 0 | 1 | 0 | 0 | 2.70 | 7 |
| José Hernández | 2048-2048 | .479 | 7 | 39 | 0 | 0 | 0 | 0.00 | 0 |
| Martín Hernández | 2048-2048 | .000 | 0 | 0 | 2 | 4 | 0 | 6.36 | 30 |
| Oliver Hernández | 2048-2049 | .000 | 0 | 0 | 3 | 2 | 1 | 8.00 | 13 |
| Pedro Hernández | 2049-2050 | .000 | 0 | 0 | 7 | 5 | 0 | 4.44 | 96 |
| Roberto Hernández | 2050-2050 | .000 | 0 | 0 | 6 | 1 | 0 | 2.70 | 74 |
| Mark Herrera | 2049-2049 | .421 | 6 | 51 | 0 | 0 | 0 | 0.00 | 0 |
| Barry Hes | 2049-2049 | .491 | 6 | 69 | 0 | 0 | 0 | 0.00 | 0 |
| William Hicks | 2048-2050 | .339 | 4 | 59 | 0 | 0 | 0 | 0.00 | 0 |
| Samuel Hickson | 2049-2049 | .167 | 0 | 1 | 0 | 0 | 0 | 0.00 | 0 |
| Bruce Hill | 2048-2048 | .381 | 0 | 21 | 0 | 0 | 0 | 0.00 | 0 |
| Stefan Hill | 2049-2049 | .407 | 0 | 5 | 0 | 0 | 0 | 0.00 | 0 |
| Shimei Hirano | 2048-2049 | .000 | 0 | 0 | 4 | 1 | 0 | 8.18 | 20 |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
| Yodo Hirose | 2050-2050 | .232 | 5 | 20 | 0 | 0 | 0 | 0.00 | 0 |
| Darrell Hodges | 2050-2050 | .000 | 0 | 0 | 1 | 3 | 6 | 3.38 | 10 |
| Chih Hoong | 2048-2049 | .000 | 0 | 0 | 11 | 3 | 0 | 4.31 | 114 |
| Ken Hooper | 2050-2050 | .298 | 4 | 28 | 0 | 0 | 0 | 0.00 | 0 |
| Jim Howell | 2048-2048 | .000 | 0 | 0 | 3 | 3 | 0 | 5.58 | 27 |
| Zheng-ze Huang | 2048-2048 | .371 | 1 | 33 | 0 | 0 | 0 | 0.00 | 0 |
