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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 |
|---|---|---|---|---|---|---|---|---|---|
| Frank Hadfield | 1956-1956 | .000 | 0 | 0 | 1 | 0 | 0 | 0.00 | 0 |
| Özbek Hanîminönü | 1956-1956 | .250 | 1 | 2 | 0 | 0 | 0 | 0.00 | 0 |
| Fabian Happ | 1956-1959 | .000 | 0 | 0 | 1 | 0 | 0 | 0.00 | 1 |
| Josh Harmon | 1956-1956 | .000 | 0 | 0 | 0 | 1 | 0 | 8.18 | 3 |
| Fergus Harris | 1956-1959 | .281 | 0 | 2 | 0 | 0 | 0 | 0.00 | 0 |
| Philip Harteros | 1956-1959 | .227 | 0 | 1 | 0 | 0 | 0 | 0.00 | 0 |
| Eb Hartog | 1956-1959 | .227 | 3 | 6 | 0 | 0 | 0 | 0.00 | 0 |
| Kazumi Hayashi | 1959-1959 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Robbie Helgert | 1959-1959 | .421 | 1 | 10 | 0 | 0 | 0 | 0.00 | 0 |
| Alex Hendez | 1956-1956 | .000 | 0 | 0 | 1 | 0 | 0 | 0.00 | 1 |
| Ethan Herbert | 1956-1956 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Felipe Hernandez | 1959-1959 | .000 | 0 | 0 | 0 | 0 | 0 | 4.50 | 3 |
| Hector Hernandez | 1959-1959 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Jose Hernandez | 1959-1959 | .133 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Octavio Hernandez | 1956-1956 | .000 | 0 | 0 | 1 | 0 | 0 | 2.08 | 0 |
| Omar Hernandez | 1959-1959 | .294 | 0 | 3 | 0 | 0 | 0 | 0.00 | 0 |
| Javier Herrera | 1956-1956 | .000 | 0 | 0 | 0 | 0 | 0 | 2.45 | 11 |
| Sergio Herrera | 1959-1959 | .333 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Max Herrmann | 1959-1959 | .167 | 0 | 1 | 0 | 0 | 0 | 0.00 | 0 |
| Matt Heydt | 1956-1959 | .000 | 0 | 0 | 1 | 1 | 2 | 4.12 | 23 |
| Jelle Hofste | 1956-1959 | .182 | 2 | 10 | 0 | 0 | 0 | 0.00 | 0 |
| Hilarius Hollar | 1956-1956 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Myles Horiatis | 1956-1956 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Ren-qing Hsing | 1959-1959 | .000 | 0 | 0 | 0 | 0 | 0 | 6.75 | 2 |
| Peng Hu | 1956-1959 | .000 | 0 | 0 | 2 | 1 | 0 | 3.48 | 7 |
| Tu-fu Hua | 1956-1959 | .000 | 0 | 0 | 0 | 2 | 0 | 4.45 | 22 |
| Yuk Huang | 1956-1959 | .000 | 0 | 0 | 0 | 0 | 0 | 2.88 | 9 |
| Sergio Huerta | 1959-1959 | .000 | 0 | 0 | 0 | 1 | 0 | 6.00 | 3 |
| Dante Huertero | 1956-1956 | .000 | 0 | 0 | 0 | 0 | 1 | 0.00 | 3 |
| Mang Hui | 1956-1959 | .214 | 1 | 10 | 0 | 0 | 0 | 0.00 | 0 |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
| Dan Hulbert | 1959-1959 | .000 | 0 | 0 | 0 | 0 | 0 | 9.00 | 0 |
| Wu-shiun Huo | 1956-1959 | .300 | 0 | 1 | 0 | 0 | 0 | 0.00 | 0 |
| Sebastian Hutcheon | 1959-1959 | .188 | 0 | 8 | 0 | 0 | 0 | 0.00 | 0 |
