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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 |
|---|---|---|---|---|---|---|---|---|---|
| Mathieu Hallé | 2039-2039 | .000 | 0 | 0 | 0 | 0 | 0 | 3.00 | 1 |
| John Hann | 2043-2043 | .000 | 0 | 0 | 0 | 0 | 0 | 4.91 | 2 |
| Darrell Harding | 2035-2039 | .000 | 0 | 0 | 1 | 0 | 0 | 0.00 | 7 |
| Ron Harmon | 2043-2043 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Guy Harris | 2047-2047 | .000 | 0 | 0 | 1 | 0 | 0 | 3.86 | 10 |
| Stan Harris | 2043-2047 | .314 | 2 | 6 | 0 | 0 | 0 | 0.00 | 0 |
| Artie Hatch | 2039-2039 | .000 | 0 | 0 | 1 | 0 | 0 | 3.86 | 2 |
| Eduardo Herebia | 2039-2039 | .192 | 0 | 5 | 0 | 0 | 0 | 0.00 | 0 |
| César Hernández | 2043-2043 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Fernando Hernández | 2047-2047 | .000 | 0 | 0 | 0 | 0 | 1 | 0.00 | 3 |
| Frederico Hernández | 2035-2039 | .310 | 1 | 4 | 0 | 0 | 0 | 0.00 | 0 |
| Félix Hernández | 2047-2047 | .000 | 0 | 0 | 2 | 0 | 0 | 0.00 | 21 |
| Jesús Hernández | 2035-2035 | 1.000 | 0 | 3 | 0 | 0 | 0 | 0.00 | 0 |
| Jonathon Hernández | 2043-2047 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 5 |
| José Hernández | 2035-2035 | .000 | 0 | 0 | 0 | 0 | 0 | 3.86 | 6 |
| León Hernández | 2035-2035 | .000 | 0 | 0 | 0 | 1 | 0 | 1.80 | 10 |
| Lorenzo Hernández | 2039-2039 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 3 |
| Luis Hernández | 2047-2047 | .000 | 0 | 0 | 0 | 0 | 1 | 0.00 | 0 |
| Pablo Hernández | 2035-2035 | 1.000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Sergio Hernández | 2039-2047 | .000 | 0 | 0 | 0 | 0 | 4 | 0.00 | 12 |
| Víctor Hernández | 2043-2047 | .250 | 4 | 10 | 0 | 0 | 0 | 0.00 | 0 |
| Tomás Herrera | 2039-2043 | .312 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Sam Hewitt | 2043-2043 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Duncan Hines | 2043-2047 | .303 | 3 | 10 | 0 | 0 | 0 | 0.00 | 0 |
| Bob Holland | 2039-2039 | .000 | 0 | 0 | 0 | 1 | 0 | 6.00 | 5 |
| Yoshinori Honma | 2039-2043 | .148 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Zhi Hoong | 2035-2039 | .000 | 0 | 0 | 1 | 0 | 0 | 7.71 | 9 |
| Adrián Hurtado | 2047-2047 | .267 | 1 | 1 | 0 | 0 | 0 | 0.00 | 0 |
