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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Jim Hagan | 0-2017 | 1 | 1 | .500 | 0.39 | 18 | 0 | 0 | 0 | 4 | 23.1 | 20 | 1 | 0 | 7 | 28 |
| Robert Hale | 0-6 | 1 | 5 | .167 | 2.59 | 11 | 11 | 0 | 0 | 0 | 59.0 | 49 | 17 | 3 | 16 | 59 |
| Mike Hall | 0-6 | 3 | 2 | .600 | 3.07 | 8 | 7 | 0 | 0 | 0 | 44.0 | 35 | 15 | 3 | 9 | 31 |
| Emmett Harkins | 0-6 | 4 | 5 | .444 | 3.73 | 16 | 10 | 0 | 0 | 0 | 62.2 | 66 | 26 | 4 | 19 | 51 |
| Matt Hatcher | 0-6 | 1 | 0 | 1.000 | 0.00 | 1 | 0 | 0 | 0 | 0 | 0.2 | 0 | 0 | 0 | 1 | 2 |
| Omar Hawkins | 0-2017 | 1 | 2 | .333 | 2.74 | 11 | 2 | 0 | 0 | 0 | 23.0 | 21 | 7 | 0 | 7 | 18 |
| Marc Hearn | 0-6 | 1 | 0 | 1.000 | 0.00 | 4 | 0 | 0 | 0 | 0 | 9.1 | 10 | 0 | 0 | 1 | 7 |
| Jonathan Heasley | 0-2017 | 2 | 2 | .500 | 2.86 | 14 | 6 | 0 | 0 | 0 | 44.0 | 45 | 14 | 3 | 10 | 29 |
| Jesse Heermann | 0-2016 | 1 | 1 | .500 | 2.05 | 19 | 0 | 0 | 0 | 11 | 22.0 | 16 | 5 | 1 | 6 | 36 |
| William Heflin | 0-5 | 3 | 2 | .600 | 2.12 | 14 | 0 | 0 | 0 | 4 | 17.0 | 9 | 4 | 2 | 3 | 17 |
| J.R. Hellrung | 0-6 | 1 | 1 | .500 | 4.85 | 13 | 0 | 0 | 0 | 1 | 26.0 | 23 | 14 | 2 | 11 | 24 |
| Jacob Hennessy | 0-5 | 2 | 1 | .667 | 2.06 | 8 | 5 | 0 | 0 | 0 | 35.0 | 28 | 8 | 2 | 13 | 20 |
| Yonardo Herdenez | 0-6 | 1 | 3 | .250 | 4.44 | 20 | 0 | 0 | 0 | 1 | 26.1 | 27 | 13 | 2 | 10 | 15 |
| Edgardo Hernandez | 0-0 | 0 | 1 | .000 | 9.00 | 2 | 0 | 0 | 0 | 0 | 3.0 | 3 | 3 | 0 | 4 | 2 |
| Argelis Herrera | 0-5 | 0 | 2 | .000 | 3.75 | 2 | 2 | 0 | 0 | 0 | 12.0 | 11 | 5 | 0 | 3 | 6 |
| Juan F. Herrera | 0-5 | 2 | 3 | .400 | 4.32 | 17 | 0 | 0 | 0 | 1 | 16.2 | 18 | 8 | 0 | 10 | 12 |
| Zachary Hess | 0-6 | 3 | 3 | .500 | 4.86 | 7 | 7 | 0 | 0 | 0 | 33.1 | 44 | 18 | 1 | 8 | 35 |
| Argenis Hiciano | 0-6 | 1 | 4 | .200 | 5.11 | 21 | 0 | 0 | 0 | 3 | 37.0 | 35 | 21 | 3 | 11 | 29 |
| Billy Hill | 0-5 | 3 | 3 | .500 | 3.09 | 17 | 11 | 0 | 0 | 2 | 70.0 | 73 | 24 | 3 | 13 | 40 |
| Shane Himelick | 0-2017 | 2 | 1 | .667 | 4.19 | 7 | 7 | 1 | 0 | 0 | 34.1 | 32 | 16 | 3 | 7 | 43 |
| Alger Hodgson | 0-6 | 1 | 3 | .250 | 5.34 | 6 | 6 | 0 | 0 | 0 | 28.2 | 43 | 17 | 1 | 5 | 12 |
| Sean Hollman | 0-6 | 1 | 0 | 1.000 | 1.59 | 2 | 0 | 0 | 0 | 1 | 5.2 | 4 | 1 | 0 | 2 | 0 |
| Greer Holston | 0-2016 | 1 | 2 | .333 | 1.03 | 6 | 6 | 0 | 0 | 0 | 26.1 | 20 | 3 | 1 | 8 | 19 |
| Anthony Holubecki | 0-5 | 2 | 1 | .667 | 1.89 | 3 | 3 | 0 | 0 | 0 | 19.0 | 13 | 4 | 2 | 3 | 15 |
| Joe Huff | 0-6 | 0 | 0 | .000 | 2.57 | 3 | 0 | 0 | 0 | 0 | 7.0 | 4 | 2 | 1 | 1 | 5 |
| Mike Hullaby | 0-6 | 1 | 0 | 1.000 | 0.46 | 4 | 4 | 0 | 0 | 0 | 19.2 | 17 | 1 | 0 | 5 | 18 |
| Dave Husmann | 0-6 | 0 | 4 | .000 | 3.83 | 9 | 9 | 0 | 0 | 0 | 40.0 | 44 | 17 | 0 | 9 | 33 |
