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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Zachariah Hackworth | 2032-2034 | 6 | 3 | .667 | 1.57 | 32 | 4 | 0 | 0 | 4 | 91.2 | 76 | 16 | 2 | 19 | 88 |
| Ronald Hall | 2033-2034 | 4 | 6 | .400 | 5.17 | 48 | 2 | 1 | 0 | 10 | 76.2 | 95 | 44 | 10 | 24 | 75 |
| Terry Hall | 2033-2034 | 8 | 3 | .727 | 2.72 | 15 | 14 | 2 | 0 | 1 | 106.0 | 105 | 32 | 3 | 23 | 87 |
| Alan Halsall | 2033-2034 | 15 | 9 | .625 | 3.73 | 30 | 30 | 5 | 3 | 0 | 217.1 | 230 | 90 | 14 | 61 | 220 |
| Mbaye Hane | 2032-2034 | 7 | 5 | .583 | 3.09 | 41 | 0 | 0 | 0 | 5 | 70.0 | 63 | 24 | 3 | 28 | 81 |
| Sammy Harmon | 2032-2032 | 1 | 2 | .333 | 2.47 | 16 | 12 | 0 | 0 | 1 | 51.0 | 50 | 14 | 2 | 12 | 38 |
| Walt Hart | 2034-2034 | 6 | 8 | .429 | 3.80 | 18 | 18 | 1 | 0 | 0 | 120.2 | 113 | 51 | 5 | 35 | 116 |
| Albert Hernández | 2032-2032 | 2 | 6 | .250 | 5.06 | 18 | 15 | 0 | 0 | 0 | 69.1 | 73 | 39 | 7 | 13 | 65 |
| Júlio Hernández | 2033-2033 | 0 | 1 | .000 | 16.20 | 3 | 0 | 0 | 0 | 0 | 8.1 | 23 | 15 | 1 | 9 | 2 |
| Ángel Herrera | 2032-2033 | 8 | 2 | .800 | 1.64 | 48 | 0 | 0 | 0 | 8 | 104.0 | 65 | 19 | 3 | 30 | 140 |
| José Herrera | 2033-2033 | 1 | 1 | .500 | 5.09 | 8 | 0 | 0 | 0 | 0 | 17.2 | 20 | 10 | 2 | 4 | 18 |
| Victor Heuvelink | 2033-2034 | 2 | 4 | .333 | 5.38 | 15 | 15 | 0 | 0 | 0 | 75.1 | 95 | 45 | 6 | 33 | 51 |
| Meynard Hipolito | 2033-2034 | 2 | 3 | .400 | 3.40 | 19 | 1 | 0 | 0 | 2 | 50.1 | 54 | 19 | 4 | 10 | 43 |
| Garrett Hogan | 2033-2034 | 1 | 1 | .500 | 10.69 | 9 | 0 | 0 | 0 | 0 | 16.0 | 33 | 19 | 3 | 9 | 1 |
| Tom Holloway | 2033-2033 | 1 | 0 | 1.000 | 1.23 | 2 | 2 | 0 | 0 | 0 | 7.1 | 6 | 1 | 1 | 1 | 5 |
| Bjorn Hondelink | 2033-2033 | 0 | 0 | .000 | 2.08 | 3 | 0 | 0 | 0 | 0 | 4.1 | 5 | 1 | 0 | 0 | 3 |
| Weon Hong | 2032-2032 | 5 | 4 | .556 | 3.69 | 17 | 17 | 0 | 0 | 0 | 97.2 | 104 | 40 | 4 | 32 | 99 |
| Anthony Hood | 2033-2033 | 4 | 2 | .667 | 2.70 | 8 | 7 | 2 | 0 | 0 | 53.1 | 40 | 16 | 3 | 13 | 53 |
| Jon Huband | 2033-2034 | 0 | 0 | .000 | 0.00 | 1 | 0 | 0 | 0 | 0 | 0.1 | 0 | 0 | 0 | 0 | 0 |
| Jason Huggins | 2032-2032 | 5 | 3 | .625 | 1.96 | 13 | 13 | 2 | 1 | 0 | 92.0 | 73 | 20 | 6 | 21 | 94 |
| Ching-wei Hung | 2032-2033 | 0 | 0 | .000 | 0.77 | 5 | 0 | 0 | 0 | 0 | 11.2 | 3 | 1 | 0 | 3 | 18 |
