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| League History Index | Players | Teams | Managers | Leagues | Leaderboards | Awards | Accomplishments |
| Player | From-To | G | GS | AB | R | H | 2B | 3B | HR | RBI | SB | CS | BB | SO | AVG | OBP | SLG | OPS | WAR |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| T.J. Hamilton | 2050-2055 | 237 | 227 | 854 | 146 | 212 | 39 | 2 | 50 | 147 | 5 | 4 | 146 | 292 | .248 | .370 | .474 | .845 | 1.1 |
| Harold Hansen | 2056-2058 | 27 | 7 | 50 | 3 | 12 | 1 | 0 | 0 | 3 | 0 | 1 | 4 | 13 | .240 | .296 | .260 | .556 | -0.5 |
| Danny Hawley | 2050-2055 | 234 | 196 | 843 | 137 | 189 | 35 | 7 | 37 | 116 | 41 | 15 | 97 | 275 | .224 | .309 | .414 | .723 | -1.3 |
| Jake Henderson | 2056-2058 | 50 | 26 | 115 | 13 | 26 | 4 | 0 | 1 | 7 | 0 | 0 | 16 | 16 | .226 | .326 | .287 | .613 | -1.1 |
| Danny Hernandez | 2056-2058 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | .000 | .000 | .000 | .000 | -0.1 |
| Hector Hernandez | 2056-2058 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | .000 | .000 | .000 | .000 | 0.0 |
| Danny Herrera | 2056-2058 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | .000 | .000 | .000 | .000 | 0.0 |
| Robert Herrery | 2050-2055 | 224 | 173 | 702 | 80 | 174 | 33 | 0 | 8 | 81 | 8 | 4 | 60 | 142 | .248 | .316 | .329 | .645 | -2.6 |
| Tony Huerta | 2044-2048 | 21 | 0 | 19 | 2 | 5 | 1 | 1 | 0 | 6 | 0 | 0 | 7 | 5 | .263 | .464 | .421 | .885 | 0.2 |
| Jason Hughes | 2056-2058 | 138 | 126 | 520 | 107 | 126 | 17 | 0 | 30 | 78 | 22 | 24 | 81 | 118 | .242 | .355 | .448 | .803 | -0.4 |
