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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 |
|---|---|---|---|---|---|---|---|---|---|
| T.J. Hamilton | 2050-2055 | .248 | 50 | 147 | 0 | 0 | 0 | 21.60 | 3 |
| Harvey Hammond | 2050-2055 | .000 | 0 | 0 | 7 | 10 | 17 | 6.38 | 321 |
| Harold Hansen | 2056-2058 | .240 | 0 | 3 | 0 | 0 | 0 | 0.00 | 0 |
| Ethan Hanson | 2056-2058 | .000 | 0 | 0 | 2 | 0 | 1 | 7.36 | 8 |
| Vic Harrison | 2044-2049 | .000 | 0 | 0 | 23 | 14 | 0 | 3.14 | 415 |
| Danny Hawley | 2050-2055 | .224 | 37 | 116 | 0 | 0 | 0 | 3.38 | 6 |
| Jake Henderson | 2056-2058 | .226 | 1 | 7 | 0 | 0 | 0 | 0.00 | 0 |
| Danny Hernandez | 2056-2058 | .000 | 0 | 0 | 2 | 2 | 0 | 5.80 | 45 |
| Hector Hernandez | 2056-2058 | .000 | 0 | 0 | 5 | 0 | 0 | 5.21 | 63 |
| Tony Hernandez | 2056-2058 | .000 | 0 | 0 | 2 | 0 | 1 | 6.71 | 49 |
| Danny Herrera | 2056-2058 | .000 | 0 | 0 | 3 | 8 | 12 | 3.84 | 97 |
| Ernesto Herrera | 2050-2055 | .000 | 0 | 0 | 10 | 3 | 62 | 1.73 | 252 |
| Robert Herrery | 2050-2055 | .248 | 8 | 81 | 0 | 0 | 0 | 2.08 | 6 |
| Corey Herring | 2044-2048 | .000 | 0 | 0 | 6 | 2 | 0 | 2.42 | 129 |
| Bobby Holguin | 2044-2049 | .000 | 0 | 0 | 2 | 0 | 0 | 2.43 | 45 |
| Wouter Hop | 2044-2049 | .000 | 0 | 0 | 11 | 18 | 0 | 4.63 | 225 |
| Tony Huerta | 2044-2048 | .263 | 0 | 6 | 0 | 0 | 0 | 0.00 | 0 |
| Jason Hughes | 2056-2058 | .242 | 30 | 78 | 0 | 0 | 0 | 0.00 | 0 |
| Joel Hyle | 2046-2049 | .000 | 0 | 0 | 12 | 9 | 0 | 2.77 | 241 |
