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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 | 2033-2033 | .000 | 0 | 0 | 5 | 5 | 0 | 4.31 | 82 |
| Alfonso Hadalgo | 2034-2034 | .000 | 0 | 0 | 0 | 1 | 0 | 7.23 | 11 |
| Yo Hamada | 2034-2034 | .000 | 0 | 0 | 0 | 0 | 1 | 0.00 | 9 |
| Ed Hammond | 2033-2033 | .000 | 0 | 0 | 13 | 6 | 0 | 2.81 | 181 |
| Lucas Hancox | 2032-2032 | .231 | 4 | 28 | 0 | 0 | 0 | 0.00 | 0 |
| Les Hannaford | 2034-2034 | .000 | 0 | 0 | 0 | 2 | 2 | 2.87 | 7 |
| Dong-hua Hao | 2033-2034 | .000 | 0 | 0 | 15 | 7 | 5 | 3.61 | 137 |
| Sammy Harmon | 2033-2033 | .000 | 0 | 0 | 0 | 1 | 0 | 4.26 | 6 |
| Grady Harris | 2032-2032 | .263 | 9 | 34 | 0 | 0 | 0 | 0.00 | 0 |
| Ron Harris | 2034-2034 | .000 | 0 | 0 | 0 | 2 | 5 | 3.18 | 33 |
| Tekkan Hayagawa | 2032-2032 | .247 | 0 | 21 | 0 | 0 | 0 | 0.00 | 0 |
| Tom Hegedus | 2032-2032 | .000 | 0 | 0 | 2 | 5 | 4 | 3.99 | 54 |
| Andrés Hernández | 2032-2033 | .244 | 3 | 41 | 0 | 0 | 0 | 0.00 | 0 |
| Felipe Hernández | 2034-2034 | .223 | 1 | 22 | 0 | 0 | 0 | 0.00 | 0 |
| Orlando Hernández | 2033-2034 | .185 | 0 | 2 | 12 | 13 | 1 | 3.57 | 201 |
| Salvador Hernández | 2032-2032 | .288 | 1 | 28 | 0 | 0 | 0 | 0.00 | 0 |
| Wilson Hernández | 2034-2034 | .266 | 5 | 26 | 0 | 0 | 0 | 0.00 | 0 |
| Dylan Herrera | 2032-2032 | .216 | 1 | 10 | 0 | 0 | 0 | 0.00 | 0 |
| Dave Herring | 2032-2032 | .168 | 2 | 11 | 0 | 0 | 0 | 0.00 | 0 |
| Donald Higgins | 2032-2033 | .000 | 0 | 0 | 0 | 2 | 0 | 4.95 | 23 |
| Jon Hill | 2033-2033 | .248 | 4 | 18 | 0 | 0 | 0 | 0.00 | 0 |
| Estanislao Hirigoyen | 2034-2034 | .245 | 1 | 29 | 0 | 0 | 0 | 0.00 | 0 |
| Semo Hoaloha | 2032-2032 | .286 | 4 | 24 | 0 | 0 | 0 | 0.00 | 0 |
| Archie Hodges | 2032-2032 | .000 | 0 | 0 | 2 | 1 | 0 | 5.93 | 19 |
| Sherman Hoffman | 2032-2033 | .277 | 2 | 45 | 0 | 0 | 0 | 0.00 | 0 |
| Peter Holland | 2034-2034 | .288 | 7 | 33 | 0 | 0 | 0 | 0.00 | 0 |
| Tom Holloway | 2032-2032 | .000 | 0 | 0 | 0 | 0 | 0 | 1.26 | 10 |
| J.J. Holmes | 2032-2032 | .321 | 0 | 6 | 0 | 0 | 0 | 0.00 | 0 |
| Bjorn Hondelink | 2034-2034 | .000 | 0 | 0 | 2 | 5 | 1 | 4.34 | 53 |
| Cord Hosenbeck | 2033-2033 | .276 | 1 | 17 | 0 | 0 | 0 | 0.00 | 0 |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
| Kullervo Hostikka | 2034-2034 | .000 | 0 | 0 | 0 | 6 | 0 | 5.48 | 41 |
| Jing Hsi | 2033-2033 | .000 | 0 | 0 | 1 | 2 | 0 | 4.79 | 53 |
| Ju-wei Huang | 2032-2032 | .253 | 0 | 16 | 0 | 0 | 0 | 0.00 | 0 |
| Jon Huband | 2032-2032 | .286 | 7 | 34 | 0 | 0 | 0 | 0.00 | 0 |
| Rick Hubbard | 2034-2034 | .000 | 0 | 0 | 4 | 8 | 0 | 4.90 | 103 |
| Tomás Huesca | 2032-2032 | .000 | 0 | 0 | 0 | 1 | 0 | 3.00 | 6 |
| Brandon Hughes | 2034-2034 | .000 | 0 | 0 | 6 | 1 | 5 | 1.91 | 26 |
| Michael Hughes | 2032-2032 | .253 | 2 | 19 | 0 | 0 | 0 | 0.00 | 0 |
| Dusty Hunt | 2034-2034 | .226 | 3 | 31 | 0 | 0 | 0 | 0.00 | 0 |
