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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Roberts Hamhock | 2032-2033 | 155 | 123 | 546 | 72 | 160 | 32 | 1 | 14 | 58 | 1 | 0 | 64 | 138 | .293 | .372 | .432 | .804 | 2.6 |
| Nick Harper | 2034-2034 | 69 | 62 | 218 | 20 | 48 | 17 | 0 | 2 | 31 | 0 | 0 | 18 | 68 | .220 | .280 | .326 | .606 | -1.2 |
| Sadakuno Hashimoto | 2032-2032 | 27 | 27 | 114 | 23 | 44 | 5 | 0 | 7 | 26 | 3 | 0 | 9 | 19 | .386 | .431 | .614 | 1.045 | 2.7 |
| Tekkan Hayagawa | 2034-2034 | 21 | 21 | 86 | 12 | 24 | 4 | 0 | 1 | 10 | 0 | 0 | 9 | 12 | .279 | .374 | .360 | .734 | 1.0 |
| Armando Hernández | 2032-2032 | 93 | 92 | 352 | 39 | 90 | 12 | 2 | 2 | 39 | 11 | 10 | 19 | 87 | .256 | .295 | .318 | .613 | 0.2 |
| Carlos Hernández | 2033-2034 | 167 | 157 | 661 | 74 | 196 | 43 | 5 | 9 | 72 | 4 | 2 | 41 | 167 | .297 | .345 | .418 | .762 | 1.9 |
| José Hernández | 2032-2034 | 87 | 70 | 268 | 20 | 70 | 14 | 1 | 1 | 25 | 0 | 0 | 23 | 66 | .261 | .330 | .332 | .662 | 0.7 |
| Tony Hernández | 2033-2034 | 130 | 120 | 523 | 77 | 178 | 49 | 4 | 10 | 71 | 14 | 4 | 22 | 110 | .340 | .375 | .507 | .881 | 4.8 |
| Wilson Hernández | 2032-2033 | 151 | 147 | 584 | 66 | 135 | 19 | 3 | 7 | 55 | 13 | 5 | 31 | 154 | .231 | .286 | .310 | .596 | -2.1 |
| Jim Herries | 2033-2034 | 103 | 98 | 380 | 46 | 107 | 17 | 1 | 5 | 33 | 0 | 1 | 50 | 100 | .282 | .372 | .371 | .743 | 3.4 |
| Jon Hill | 2034-2034 | 15 | 15 | 61 | 7 | 17 | 5 | 1 | 1 | 7 | 2 | 1 | 2 | 22 | .279 | .302 | .443 | .744 | 0.2 |
| Alexis Hines | 2034-2034 | 63 | 62 | 218 | 19 | 42 | 15 | 1 | 0 | 10 | 0 | 0 | 19 | 76 | .193 | .278 | .271 | .548 | -0.0 |
| Tsuneari Hirano | 2033-2034 | 69 | 69 | 259 | 31 | 87 | 9 | 2 | 6 | 40 | 7 | 5 | 27 | 66 | .336 | .399 | .456 | .854 | 2.1 |
| Peter Holland | 2032-2033 | 160 | 155 | 608 | 73 | 146 | 31 | 5 | 8 | 67 | 1 | 3 | 54 | 183 | .240 | .305 | .347 | .652 | 0.6 |
| J.J. Holmes | 2033-2034 | 158 | 148 | 571 | 53 | 163 | 24 | 1 | 2 | 56 | 0 | 1 | 50 | 131 | .285 | .346 | .342 | .687 | 1.0 |
| Jay Holt | 2032-2032 | 3 | 2 | 6 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | .167 | .167 | .167 | .333 | -0.1 |
| Juho Hovinen | 2034-2034 | 61 | 49 | 229 | 30 | 74 | 12 | 1 | 3 | 26 | 0 | 0 | 7 | 41 | .323 | .358 | .424 | .781 | 1.5 |
| Jasper Humphrey | 2034-2034 | 93 | 93 | 360 | 44 | 98 | 12 | 4 | 9 | 33 | 17 | 5 | 33 | 104 | .272 | .339 | .403 | .742 | 1.2 |
| Justin Hunt | 2032-2034 | 146 | 136 | 549 | 83 | 143 | 16 | 6 | 5 | 39 | 19 | 4 | 48 | 136 | .260 | .332 | .339 | .670 | -0.2 |
