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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 |
|---|---|---|---|---|---|---|---|---|---|
| Herbert Hackler | 1938-1938 | .571 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Stanley Hagen | 1936-1939 | .000 | 0 | 0 | 7 | 5 | 10 | 3.01 | 23 |
| Jacob Harmon | 1935-1938 | .091 | 0 | 0 | 0 | 1 | 1 | 3.32 | 24 |
| Robert Harris | 1937-1939 | .169 | 0 | 13 | 29 | 9 | 0 | 3.20 | 146 |
| Roy Harrison | 1939-1939 | .263 | 1 | 6 | 0 | 0 | 0 | 0.00 | 0 |
| Mike Hart | 1930-1939 | .276 | 11 | 112 | 0 | 0 | 0 | 0.00 | 0 |
| Wallace Hartwig | 1935-1939 | .323 | 4 | 21 | 0 | 0 | 0 | 9.00 | 0 |
| Hansl Haselrieder | 1939-1939 | .182 | 0 | 4 | 0 | 0 | 0 | 0.00 | 0 |
| Daniel Haviland | 1933-1939 | .288 | 1 | 21 | 24 | 31 | 0 | 4.89 | 160 |
| Samuel Hayden | 1938-1939 | .316 | 1 | 33 | 0 | 0 | 0 | 0.00 | 0 |
| Bunny Hearn | 1935-1937 | .400 | 0 | 0 | 2 | 1 | 0 | 3.95 | 13 |
| Fletcher Heath | 1939-1939 | .296 | 0 | 1 | 0 | 0 | 0 | 0.00 | 0 |
| Roy Helser | 1937-1939 | .270 | 0 | 3 | 7 | 9 | 0 | 3.97 | 62 |
| Yashpal Henare | 1937-1939 | .284 | 8 | 61 | 0 | 0 | 0 | 0.00 | 0 |
| Curtis Henderson | 1936-1939 | .301 | 8 | 90 | 0 | 0 | 0 | 0.00 | 0 |
| Louie Hendrix | 1935-1939 | .343 | 1 | 13 | 20 | 10 | 0 | 3.02 | 142 |
| Gus Henrity | 1930-1937 | .331 | 1 | 142 | 0 | 0 | 0 | 0.00 | 0 |
| Pat Henry | 1937-1939 | .269 | 3 | 39 | 0 | 0 | 0 | 0.00 | 0 |
| Gunnar Herdal | 1937-1937 | .282 | 0 | 2 | 0 | 0 | 0 | 0.00 | 0 |
| Charles Herich | 1939-1939 | .311 | 0 | 3 | 0 | 0 | 0 | 0.00 | 0 |
| Lucas Hermann | 1929-1939 | .249 | 8 | 149 | 0 | 0 | 0 | 0.00 | 0 |
| Chris Herrera | 1932-1939 | .179 | 0 | 26 | 54 | 47 | 0 | 3.74 | 383 |
| Lorenzo Herrera | 1920-1928 | .237 | 1 | 33 | 67 | 41 | 3 | 3.09 | 617 |
| Joe Higgs | 1927-1937 | .277 | 0 | 40 | 53 | 45 | 0 | 4.16 | 356 |
| Carl Hill | 1935-1935 | .000 | 0 | 0 | 0 | 0 | 0 | 4.32 | 4 |
| Geraldo Hiracheta | 1930-1931 | .000 | 0 | 0 | 1 | 1 | 0 | 2.86 | 9 |
| Brad Hoang | 1930-1939 | .266 | 42 | 325 | 0 | 0 | 0 | 0.00 | 0 |
| Roy Hoefling | 1937-1939 | .050 | 0 | 0 | 10 | 16 | 0 | 5.22 | 98 |
| Benjamin Hoffman | 1938-1938 | .091 | 0 | 2 | 0 | 0 | 0 | 0.00 | 0 |
| Rasmus Hood | 1937-1939 | .280 | 1 | 71 | 0 | 0 | 0 | 0.00 | 0 |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
| Mike Hoover | 1934-1939 | .316 | 2 | 51 | 0 | 0 | 0 | 0.00 | 0 |
| Tristan Houle | 1933-1939 | .280 | 5 | 74 | 0 | 0 | 0 | 0.00 | 0 |
| Dixie Howell | 1935-1939 | .311 | 4 | 91 | 0 | 0 | 0 | 0.00 | 0 |
| Waite Hoyt | 1930-1932 | .244 | 0 | 14 | 31 | 11 | 0 | 1.99 | 273 |
| Steven Huang | 1932-1939 | .165 | 1 | 24 | 40 | 48 | 0 | 4.29 | 343 |
| Stephen Hughes | 1932-1932 | .336 | 1 | 29 | 0 | 0 | 0 | 0.00 | 0 |
| Olaf Hurd | 1938-1938 | .250 | 0 | 0 | 0 | 0 | 0 | 2.51 | 8 |
| Harvey Hyman | 1936-1936 | .259 | 0 | 15 | 0 | 0 | 0 | 0.00 | 0 |
