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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 |
|---|---|---|---|---|---|---|---|---|---|
| Keith Hall | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 3 | 0.00 | 4 |
| Tae-sang Han | 2020-2020 | .264 | 5 | 32 | 0 | 0 | 0 | 0.00 | 0 |
| Mike Hanson | 2020-2020 | .325 | 0 | 3 | 0 | 0 | 0 | 0.00 | 0 |
| Phil Hanson | 2020-2020 | .000 | 0 | 0 | 0 | 2 | 1 | 5.16 | 30 |
| Dan Hart | 2020-2020 | .200 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Norberto Hartsoeker | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 0 | 7.50 | 3 |
| Jack Hatcher | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Raleigh Heller | 2020-2020 | .000 | 0 | 0 | 3 | 0 | 0 | 3.79 | 17 |
| Chris Henry | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Bernardo Hernández | 2020-2020 | .271 | 4 | 34 | 0 | 0 | 0 | 0.00 | 0 |
| César Hernández | 2020-2020 | .000 | 0 | 0 | 5 | 3 | 0 | 3.75 | 62 |
| Dani Hernández | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 5 |
| Iván Hernández | 2020-2020 | .251 | 1 | 30 | 0 | 0 | 0 | 0.00 | 0 |
| Javier Hernández | 2020-2020 | .000 | 0 | 0 | 1 | 7 | 15 | 3.92 | 36 |
| José Hernández | 2020-2020 | .000 | 0 | 0 | 3 | 2 | 0 | 2.47 | 34 |
| Luis Hernández | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 1 | 0.00 | 0 |
| Manny Hernández | 2020-2020 | .230 | 4 | 25 | 0 | 0 | 0 | 0.00 | 0 |
| Aaron Holder | 0-0 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Glen Holland | 2020-2020 | .000 | 0 | 0 | 5 | 7 | 0 | 3.21 | 139 |
| John Huff | 0-0 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Earnest Hunt | 2020-2020 | .000 | 0 | 0 | 1 | 0 | 2 | 0.87 | 7 |
| Kelly Hyde | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 1 |
| Chang-keun Hyon | 2020-2020 | .000 | 0 | 0 | 1 | 0 | 1 | 2.30 | 7 |
