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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 |
|---|---|---|---|---|---|---|---|---|---|
| Teijo Hagman | 2049-2049 | .000 | 0 | 0 | 2 | 0 | 0 | 3.65 | 13 |
| Matt Hall | 2048-2049 | .000 | 0 | 0 | 5 | 3 | 1 | 5.19 | 37 |
| Pavel Haltuch | 2048-2048 | .312 | 1 | 3 | 0 | 0 | 0 | 0.00 | 0 |
| Marc Hamm | 2048-2048 | .308 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Chang-yong Hann | 2048-2048 | .413 | 2 | 21 | 0 | 0 | 0 | 0.00 | 0 |
| Marcello Harman | 2048-2048 | .319 | 1 | 46 | 0 | 0 | 0 | 0.00 | 0 |
| Randolph Harper | 2048-2048 | .366 | 0 | 30 | 0 | 0 | 0 | 0.00 | 0 |
| Andy Harris | 2048-2048 | .351 | 1 | 17 | 0 | 0 | 0 | 0.00 | 0 |
| Stephen Harris | 2049-2049 | .000 | 0 | 0 | 1 | 0 | 0 | 3.97 | 14 |
| Greg Hawkins | 2048-2048 | .000 | 0 | 0 | 0 | 0 | 1 | 4.96 | 19 |
| Ryuichi Hayashi | 2049-2049 | .000 | 0 | 0 | 5 | 3 | 0 | 6.46 | 65 |
| Yan Hemminga | 2049-2049 | .000 | 0 | 0 | 1 | 3 | 1 | 7.26 | 16 |
| Nicky Henley | 2048-2048 | .378 | 3 | 38 | 0 | 0 | 0 | 0.00 | 0 |
| Alfredo Hernández | 2048-2049 | .349 | 2 | 54 | 0 | 0 | 0 | 0.00 | 0 |
| Carlos Hernández | 2049-2049 | .176 | 0 | 2 | 0 | 0 | 0 | 0.00 | 0 |
| Freddy Hernández | 2049-2049 | .000 | 0 | 0 | 1 | 0 | 0 | 11.57 | 5 |
| Mario Hernández | 2048-2049 | .000 | 0 | 0 | 4 | 7 | 0 | 9.30 | 40 |
| Pedro Hernández | 2048-2048 | .452 | 1 | 41 | 0 | 0 | 0 | 0.00 | 0 |
| Reynaldo Hernández | 2049-2049 | .000 | 0 | 0 | 0 | 0 | 0 | 5.06 | 3 |
| Barry Hes | 2048-2048 | .324 | 1 | 28 | 0 | 0 | 0 | 0.00 | 0 |
| Samuel Hickson | 2048-2048 | .320 | 0 | 4 | 0 | 0 | 0 | 0.00 | 0 |
| Noah Hockin | 2048-2049 | .000 | 0 | 0 | 0 | 1 | 0 | 9.00 | 5 |
| Jonas Hoeks | 2049-2049 | .000 | 0 | 0 | 2 | 3 | 0 | 9.57 | 20 |
| Ricardo Hoera | 2048-2048 | .327 | 5 | 41 | 0 | 0 | 0 | 0.00 | 0 |
| Ludwig Hofler | 2048-2049 | .382 | 7 | 85 | 0 | 0 | 0 | 0.00 | 0 |
| Mark Holland | 2048-2048 | .414 | 0 | 25 | 0 | 0 | 0 | 0.00 | 0 |
| Michizane Honda | 2048-2049 | .000 | 0 | 0 | 1 | 0 | 9 | 4.97 | 25 |
| Guo-dong Hoong | 2048-2049 | .333 | 2 | 51 | 0 | 0 | 0 | 0.00 | 0 |
| Jon Hopkins | 2048-2049 | .366 | 0 | 15 | 0 | 0 | 0 | 18.90 | 3 |
| Don House | 2048-2049 | .000 | 0 | 0 | 4 | 3 | 1 | 5.48 | 92 |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
| Jim House | 2049-2049 | .297 | 3 | 30 | 0 | 0 | 0 | 0.00 | 0 |
| Xu-gang Hsieh | 2049-2049 | .000 | 0 | 0 | 2 | 5 | 0 | 15.21 | 24 |
| Mo Huang | 2048-2048 | .000 | 0 | 0 | 2 | 3 | 5 | 6.48 | 23 |
