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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 |
|---|---|---|---|---|---|---|---|---|---|
| Jong-yong Ha | 2032-2032 | .000 | 0 | 0 | 0 | 1 | 0 | 6.75 | 12 |
| Paul Haines | 2033-2033 | .000 | 0 | 0 | 8 | 4 | 0 | 2.79 | 104 |
| Sean Halls | 2032-2034 | .000 | 0 | 0 | 11 | 6 | 0 | 3.50 | 155 |
| Roberts Hamhock | 2032-2033 | .293 | 14 | 58 | 0 | 0 | 0 | 0.00 | 0 |
| Eddie Hancock | 2032-2033 | .000 | 0 | 0 | 4 | 3 | 1 | 6.38 | 70 |
| Sammy Harmon | 2034-2034 | .000 | 0 | 0 | 0 | 0 | 0 | 9.64 | 9 |
| Nick Harper | 2034-2034 | .220 | 2 | 31 | 0 | 0 | 0 | 0.00 | 0 |
| Sadakuno Hashimoto | 2032-2032 | .386 | 7 | 26 | 0 | 0 | 0 | 0.00 | 0 |
| Tekkan Hayagawa | 2034-2034 | .279 | 1 | 10 | 0 | 0 | 0 | 0.00 | 0 |
| Armando Hernández | 2032-2032 | .256 | 2 | 39 | 0 | 0 | 0 | 0.00 | 0 |
| Carlos Hernández | 2033-2034 | .297 | 9 | 72 | 0 | 0 | 0 | 0.00 | 0 |
| Enrique Hernández | 2034-2034 | .000 | 0 | 0 | 1 | 4 | 0 | 4.68 | 43 |
| Gerardo Hernández | 2034-2034 | .000 | 0 | 0 | 0 | 3 | 0 | 8.69 | 23 |
| José Hernández | 2032-2034 | .261 | 1 | 25 | 0 | 0 | 0 | 0.00 | 0 |
| Orlando Hernández | 2032-2032 | .000 | 0 | 0 | 4 | 4 | 0 | 3.16 | 81 |
| Tony Hernández | 2033-2034 | .340 | 10 | 71 | 0 | 0 | 0 | 0.00 | 0 |
| Wilson Hernández | 2032-2033 | .231 | 7 | 55 | 0 | 0 | 0 | 0.00 | 0 |
| Knud Herrewijn | 2032-2032 | .000 | 0 | 0 | 9 | 3 | 0 | 2.88 | 127 |
| Jim Herries | 2033-2034 | .282 | 5 | 33 | 0 | 0 | 0 | 0.00 | 0 |
| Jon Hill | 2034-2034 | .279 | 1 | 7 | 0 | 0 | 0 | 0.00 | 0 |
| Alexis Hines | 2034-2034 | .193 | 0 | 10 | 0 | 0 | 0 | 0.00 | 0 |
| Tsuneari Hirano | 2033-2034 | .336 | 6 | 40 | 0 | 0 | 0 | 0.00 | 0 |
| Joe Holbrook | 2033-2033 | .000 | 0 | 0 | 1 | 1 | 0 | 4.43 | 24 |
| Peter Holland | 2032-2033 | .240 | 8 | 67 | 0 | 0 | 0 | 0.00 | 0 |
| Bert Hollingsworth | 2032-2034 | .000 | 0 | 0 | 12 | 11 | 2 | 4.36 | 249 |
| Brian Holman | 2033-2034 | .000 | 0 | 0 | 9 | 6 | 8 | 3.13 | 111 |
| J.J. Holmes | 2033-2034 | .285 | 2 | 56 | 0 | 0 | 0 | 0.00 | 0 |
| Jay Holt | 2032-2032 | .167 | 0 | 0 | 8 | 2 | 0 | 3.39 | 70 |
| Chu-yong Hong | 2032-2033 | .000 | 0 | 0 | 3 | 3 | 0 | 2.53 | 37 |
| Greg Hoover | 2034-2034 | .000 | 0 | 0 | 6 | 10 | 0 | 4.08 | 89 |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
| Harris Hopkins | 2032-2033 | .000 | 0 | 0 | 4 | 3 | 4 | 4.07 | 42 |
| Juho Hovinen | 2034-2034 | .323 | 3 | 26 | 0 | 0 | 0 | 0.00 | 0 |
| Ernest Howe | 2034-2034 | .000 | 0 | 0 | 6 | 8 | 7 | 4.97 | 76 |
| Jing Hsi | 2034-2034 | .000 | 0 | 0 | 0 | 1 | 0 | 6.43 | 10 |
| Zhong-yi Huang | 2032-2033 | .000 | 0 | 0 | 5 | 3 | 0 | 2.14 | 123 |
| Vincent Hubbard | 2034-2034 | .000 | 0 | 0 | 8 | 3 | 0 | 2.71 | 130 |
| Aidan Hughes | 2033-2034 | .000 | 0 | 0 | 6 | 3 | 0 | 4.31 | 88 |
| Brandon Humphrey | 2032-2033 | .000 | 0 | 0 | 2 | 2 | 0 | 5.68 | 55 |
| Jasper Humphrey | 2034-2034 | .272 | 9 | 33 | 0 | 0 | 0 | 0.00 | 0 |
| Justin Hunt | 2032-2034 | .260 | 5 | 39 | 0 | 0 | 0 | 0.00 | 0 |
| Kenny Hunt | 2032-2034 | .000 | 0 | 0 | 7 | 9 | 4 | 4.25 | 113 |
| Matthew Hunter | 2034-2034 | .000 | 0 | 0 | 0 | 12 | 0 | 7.75 | 48 |
| Seung-jae Hwang | 2032-2032 | .000 | 0 | 0 | 5 | 1 | 1 | 2.07 | 92 |
