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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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Josh Hader | 2020-2020 | 3 | 3 | .500 | 5.49 | 56 | 0 | 0 | 0 | 22 | 57.1 | 46 | 35 | 11 | 36 | 101 |
| Cole Hamels | 2020-2020 | 7 | 7 | .500 | 5.43 | 56 | 9 | 0 | 0 | 3 | 107.2 | 153 | 65 | 6 | 49 | 95 |
| Ian Hamilton | 2020-2020 | 0 | 3 | .000 | 9.00 | 8 | 0 | 0 | 0 | 1 | 7.0 | 13 | 7 | 3 | 1 | 10 |
| Brad Hand | 2020-2020 | 6 | 6 | .500 | 4.84 | 53 | 0 | 0 | 0 | 26 | 57.2 | 57 | 31 | 8 | 18 | 87 |
| J.A. Happ | 2020-2020 | 3 | 7 | .300 | 6.52 | 40 | 9 | 0 | 0 | 0 | 96.2 | 132 | 70 | 22 | 32 | 98 |
| Will Harris | 2020-2020 | 3 | 10 | .231 | 6.54 | 65 | 0 | 0 | 0 | 14 | 63.1 | 85 | 46 | 13 | 18 | 80 |
| Hunter Harvey | 2020-2020 | 0 | 1 | .000 | 6.43 | 2 | 2 | 0 | 0 | 0 | 7.0 | 11 | 5 | 3 | 3 | 10 |
| Austin Hays | 2020-2020 | 0 | 0 | .000 | 0.00 | 1 | 0 | 0 | 0 | 0 | 0.2 | 1 | 0 | 0 | 1 | 1 |
| Andrew Heaney | 2020-2020 | 11 | 11 | .500 | 3.91 | 33 | 33 | 0 | 0 | 0 | 186.1 | 193 | 81 | 33 | 45 | 248 |
| Ryan Helsley | 2020-2020 | 4 | 6 | .400 | 3.87 | 68 | 1 | 0 | 0 | 1 | 102.1 | 80 | 44 | 13 | 46 | 147 |
| Kyle Hendricks | 2020-2020 | 8 | 7 | .533 | 5.63 | 22 | 22 | 0 | 0 | 0 | 134.1 | 160 | 84 | 27 | 25 | 141 |
| Liam Hendriks | 2020-2020 | 6 | 8 | .429 | 3.25 | 56 | 1 | 0 | 0 | 24 | 61.0 | 56 | 22 | 6 | 15 | 95 |
| Darwinzon Hernandez | 2020-2020 | 0 | 0 | .000 | 6.00 | 24 | 0 | 0 | 0 | 0 | 24.0 | 20 | 16 | 4 | 21 | 48 |
| Enrique Hernandez | 2020-2020 | 0 | 0 | .000 | 9.82 | 2 | 0 | 0 | 0 | 0 | 3.2 | 1 | 4 | 1 | 5 | 1 |
| John Hicks | 2020-2020 | 0 | 0 | .000 | 20.25 | 1 | 0 | 0 | 0 | 0 | 1.1 | 4 | 3 | 2 | 3 | 2 |
| Jordan Hicks | 2020-2020 | 5 | 0 | 1.000 | 1.15 | 30 | 0 | 0 | 0 | 3 | 31.1 | 14 | 4 | 2 | 8 | 48 |
| Rich Hill | 2020-2020 | 2 | 3 | .400 | 9.13 | 22 | 1 | 0 | 0 | 1 | 22.2 | 32 | 23 | 7 | 15 | 22 |
| Yoshihisa Hirano | 2020-2020 | 2 | 3 | .400 | 6.04 | 18 | 0 | 0 | 0 | 2 | 22.1 | 25 | 15 | 3 | 8 | 21 |
| Jeff Hoffman | 2020-2020 | 0 | 0 | .000 | 4.50 | 4 | 0 | 0 | 0 | 0 | 6.0 | 3 | 3 | 1 | 3 | 9 |
| Jonathan Holder | 2020-2020 | 2 | 1 | .667 | 5.61 | 36 | 0 | 0 | 0 | 3 | 51.1 | 66 | 32 | 8 | 16 | 53 |
| Brent Honeywell Jr. | 2020-2020 | 7 | 9 | .438 | 4.68 | 25 | 25 | 0 | 0 | 0 | 136.2 | 128 | 71 | 15 | 46 | 157 |
| Tanner Houck | 2020-2020 | 2 | 1 | .667 | 1.46 | 4 | 4 | 0 | 0 | 0 | 24.2 | 17 | 4 | 3 | 8 | 25 |
| Adrian Houser | 2020-2020 | 10 | 14 | .417 | 4.54 | 34 | 27 | 1 | 0 | 0 | 154.2 | 153 | 78 | 27 | 47 | 160 |
| Spencer Howard | 2020-2020 | 3 | 3 | .500 | 5.88 | 20 | 1 | 0 | 0 | 0 | 49.0 | 50 | 32 | 14 | 14 | 67 |
| Bryan Hudson | 2020-2020 | 1 | 1 | .500 | 7.30 | 3 | 3 | 0 | 0 | 0 | 12.1 | 25 | 10 | 3 | 3 | 10 |
| Dakota Hudson | 2020-2020 | 8 | 8 | .500 | 4.19 | 32 | 32 | 1 | 0 | 0 | 176.0 | 191 | 82 | 11 | 77 | 179 |
| Daniel Hudson | 2020-2020 | 4 | 2 | .667 | 5.40 | 33 | 0 | 0 | 0 | 1 | 28.1 | 31 | 17 | 7 | 9 | 31 |
| Danny Hultzen | 2020-2020 | 0 | 3 | .000 | 4.85 | 21 | 0 | 0 | 0 | 1 | 13.0 | 15 | 7 | 2 | 12 | 17 |
| Tommy Hunter | 2020-2020 | 0 | 1 | .000 | 10.80 | 9 | 0 | 0 | 0 | 0 | 10.0 | 22 | 12 | 4 | 3 | 12 |
