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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 |
|---|---|---|---|---|---|---|---|---|---|
| Iiri Haapajarvi | 2035-2035 | .667 | 0 | 2 | 0 | 0 | 0 | 0.00 | 0 |
| Jaako Haavisto | 2035-2035 | .205 | 2 | 17 | 0 | 0 | 0 | 0.00 | 0 |
| Zachariah Hackworth | 2032-2034 | .000 | 0 | 0 | 6 | 3 | 4 | 1.57 | 88 |
| Jussi-Pekka Hakala | 2035-2035 | .212 | 0 | 3 | 0 | 0 | 0 | 0.00 | 0 |
| Chris Hall | 2035-2035 | .308 | 15 | 69 | 0 | 0 | 0 | 0.00 | 0 |
| Ronald Hall | 2033-2035 | .000 | 0 | 0 | 11 | 16 | 10 | 4.10 | 224 |
| Terry Hall | 2033-2034 | .000 | 0 | 0 | 8 | 3 | 1 | 2.72 | 87 |
| Alan Halsall | 2033-2034 | .000 | 0 | 0 | 15 | 9 | 0 | 3.73 | 220 |
| Will Hamilton | 2034-2035 | .270 | 11 | 47 | 0 | 0 | 0 | 0.00 | 0 |
| Lucas Hancox | 2033-2033 | .309 | 5 | 26 | 0 | 0 | 0 | 0.00 | 0 |
| Mbaye Hane | 2032-2034 | .000 | 0 | 0 | 7 | 5 | 5 | 3.09 | 81 |
| Tyler Hannah | 2032-2032 | .281 | 8 | 52 | 0 | 0 | 0 | 0.00 | 0 |
| Yushua Harith | 2032-2032 | .357 | 5 | 27 | 0 | 0 | 0 | 0.00 | 0 |
| Sammy Harmon | 2032-2032 | .000 | 0 | 0 | 1 | 2 | 1 | 2.47 | 38 |
| Walt Hart | 2034-2035 | .000 | 0 | 0 | 11 | 10 | 0 | 3.58 | 201 |
| Kensaku Hatayama | 2032-2034 | .200 | 1 | 8 | 0 | 0 | 0 | 0.00 | 0 |
| Rob Hawkins | 2034-2035 | .150 | 0 | 2 | 0 | 0 | 0 | 0.00 | 0 |
| Henry Head | 2034-2035 | .250 | 2 | 16 | 0 | 0 | 0 | 0.00 | 0 |
| Albert Hernández | 2032-2032 | .000 | 0 | 0 | 2 | 6 | 0 | 5.06 | 65 |
| Felipe Hernández | 2032-2033 | .232 | 1 | 27 | 0 | 0 | 0 | 0.00 | 0 |
| Jesús Hernández | 2035-2035 | .262 | 0 | 8 | 0 | 0 | 0 | 0.00 | 0 |
| Jorge Hernández | 2035-2035 | .239 | 3 | 29 | 0 | 0 | 0 | 0.00 | 0 |
| Juan Hernández | 2032-2033 | .326 | 38 | 129 | 0 | 0 | 0 | 0.00 | 0 |
| Júlio Hernández | 2033-2033 | .277 | 3 | 29 | 0 | 1 | 0 | 16.20 | 2 |
| Orlando Hernández | 2035-2035 | .000 | 0 | 0 | 0 | 0 | 0 | 2.70 | 3 |
| Salvador Hernández | 2033-2035 | .239 | 0 | 25 | 0 | 0 | 0 | 0.00 | 0 |
| Ángel Herrera | 2032-2033 | .000 | 0 | 0 | 8 | 2 | 8 | 1.64 | 140 |
| José Herrera | 2033-2033 | .000 | 0 | 0 | 1 | 1 | 0 | 5.09 | 18 |
| Jim Herries | 2032-2032 | .283 | 2 | 8 | 0 | 0 | 0 | 0.00 | 0 |
| Conrad Hessing | 2032-2033 | .271 | 5 | 35 | 0 | 0 | 0 | 0.00 | 0 |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
| Victor Heuvelink | 2033-2034 | .000 | 0 | 0 | 2 | 4 | 0 | 5.38 | 51 |
| Eddie Hickford | 2034-2034 | .300 | 5 | 29 | 0 | 0 | 0 | 0.00 | 0 |
| Lauren Hilfiker | 2032-2035 | .325 | 36 | 166 | 0 | 0 | 0 | 0.00 | 0 |
| Dave Hill | 2035-2035 | .214 | 4 | 21 | 0 | 0 | 0 | 0.00 | 0 |
| Dan Hines | 2032-2034 | .225 | 12 | 45 | 0 | 0 | 0 | 0.00 | 0 |
| Hugo Hinojo | 2035-2035 | .000 | 0 | 0 | 5 | 6 | 0 | 3.96 | 92 |
| Meynard Hipolito | 2033-2034 | .000 | 0 | 0 | 2 | 3 | 2 | 3.40 | 43 |
| Jung-heum Ho | 2032-2032 | .276 | 2 | 16 | 0 | 0 | 0 | 0.00 | 0 |
| Sherman Hoffman | 2034-2035 | .281 | 13 | 60 | 0 | 0 | 0 | 0.00 | 0 |
| Garrett Hogan | 2033-2035 | .266 | 6 | 52 | 1 | 1 | 0 | 10.69 | 1 |
| Tom Holloway | 2033-2035 | .000 | 0 | 0 | 1 | 0 | 1 | 0.75 | 15 |
| Bjorn Hondelink | 2033-2033 | .000 | 0 | 0 | 0 | 0 | 0 | 2.08 | 3 |
| Hsui-chuan Hong | 2032-2032 | .264 | 8 | 33 | 0 | 0 | 0 | 0.00 | 0 |
| Weon Hong | 2032-2032 | .000 | 0 | 0 | 5 | 4 | 0 | 3.69 | 99 |
| Anthony Hood | 2033-2033 | .000 | 0 | 0 | 4 | 2 | 0 | 2.70 | 53 |
| Pat Hopkins | 2032-2033 | .260 | 12 | 58 | 0 | 0 | 0 | 0.00 | 0 |
| Matt Howell | 2035-2035 | .309 | 0 | 7 | 0 | 0 | 0 | 0.00 | 0 |
| Ju-wei Huang | 2033-2034 | .282 | 3 | 15 | 0 | 0 | 0 | 0.00 | 0 |
| Yao-qing Huang | 2033-2033 | .417 | 1 | 3 | 0 | 0 | 0 | 0.00 | 0 |
| Jon Huband | 2033-2035 | .303 | 15 | 64 | 0 | 0 | 0 | 0.00 | 0 |
| Jason Huggins | 2032-2032 | .000 | 0 | 0 | 5 | 3 | 0 | 1.96 | 94 |
| Ching-wei Hung | 2032-2033 | .000 | 0 | 0 | 0 | 0 | 0 | 0.77 | 18 |
| Dusty Hunt | 2035-2035 | .225 | 1 | 13 | 0 | 0 | 0 | 0.00 | 0 |
| Matthew Hunt | 2035-2035 | .300 | 0 | 17 | 0 | 0 | 0 | 0.00 | 0 |
