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| League History Index | Players | Teams | Managers | Leagues | Leaderboards | Awards | Accomplishments |
| Player | From-To | W | L | Pct | ERA | G | GS | CG | SHO | SV | IP | H | ER | HR | BB | SO |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Frank Hadfield | 1954-1957 | 1 | 0 | 1.000 | 6.00 | 2 | 0 | 0 | 0 | 0 | 3.0 | 5 | 2 | 0 | 1 | 1 |
| Lettelin Hahn | 1954-1954 | 0 | 0 | .000 | 0.00 | 2 | 0 | 0 | 0 | 0 | 3.0 | 1 | 0 | 0 | 2 | 3 |
| Stevan Halili | 1957-1957 | 0 | 0 | .000 | 9.00 | 1 | 0 | 0 | 0 | 0 | 1.0 | 2 | 1 | 0 | 0 | 1 |
| Tero Hernesniemi | 1954-1957 | 0 | 1 | .000 | 6.89 | 4 | 4 | 0 | 0 | 0 | 15.2 | 22 | 12 | 1 | 11 | 6 |
| Murray Hunter | 1954-1957 | 2 | 0 | 1.000 | 0.84 | 4 | 1 | 0 | 0 | 0 | 10.2 | 6 | 1 | 0 | 3 | 4 |
| Sam Hunter | 1957-1957 | 0 | 0 | .000 | 0.00 | 1 | 0 | 0 | 0 | 0 | 2.0 | 2 | 0 | 0 | 3 | 2 |
| Kauno Hurme | 1954-1954 | 1 | 0 | 1.000 | 3.00 | 3 | 0 | 0 | 0 | 0 | 3.0 | 3 | 1 | 1 | 0 | 3 |
