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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 |
|---|---|---|---|---|---|---|---|---|---|
| Jong-yong Ha | 2033-2033 | .000 | 0 | 0 | 5 | 5 | 0 | 4.31 | 82 |
| Won-sub Ha | 2036-2037 | .336 | 0 | 14 | 0 | 0 | 0 | 0.00 | 0 |
| Alan Haas | 2036-2036 | .000 | 0 | 0 | 5 | 2 | 0 | 2.54 | 102 |
| Jaako Haavisto | 2037-2037 | .192 | 0 | 6 | 0 | 0 | 0 | 0.00 | 0 |
| Alfonso Hadalgo | 2034-2036 | .000 | 0 | 0 | 7 | 20 | 0 | 4.55 | 194 |
| Dan Haines | 2036-2036 | .190 | 2 | 25 | 0 | 0 | 0 | 0.00 | 0 |
| Victor Haley | 2035-2036 | .214 | 21 | 81 | 0 | 0 | 0 | 0.00 | 0 |
| Josh Hall | 2037-2037 | .125 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Terry Hall | 2035-2036 | .262 | 2 | 6 | 3 | 5 | 3 | 4.39 | 74 |
| Sean Halls | 2035-2035 | .000 | 0 | 0 | 4 | 4 | 0 | 3.63 | 99 |
| Yo Hamada | 2034-2035 | .000 | 0 | 0 | 5 | 1 | 8 | 2.25 | 68 |
| Sam Hamilton | 2036-2036 | .154 | 2 | 10 | 0 | 0 | 0 | 0.00 | 0 |
| Ed Hammond | 2033-2033 | .000 | 0 | 0 | 13 | 6 | 0 | 2.81 | 181 |
| Bruce Hampton | 2037-2037 | .111 | 0 | 1 | 0 | 0 | 0 | 0.00 | 0 |
| Chun-hwan Han | 2035-2036 | .240 | 1 | 32 | 0 | 0 | 0 | 0.00 | 0 |
| Kevin Hancock | 2037-2037 | .245 | 3 | 14 | 0 | 0 | 0 | 0.00 | 0 |
| Lucas Hancox | 2032-2032 | .231 | 4 | 28 | 0 | 0 | 0 | 0.00 | 0 |
| Les Hannaford | 2034-2035 | .000 | 0 | 0 | 1 | 5 | 2 | 4.64 | 40 |
| Dong-hua Hao | 2033-2035 | .000 | 0 | 0 | 17 | 9 | 11 | 3.73 | 167 |
| Sammy Harmon | 2033-2033 | .000 | 0 | 0 | 0 | 1 | 0 | 4.26 | 6 |
| Nick Harper | 2035-2035 | .277 | 6 | 42 | 0 | 0 | 0 | 0.00 | 0 |
| Grady Harris | 2032-2032 | .263 | 9 | 34 | 0 | 0 | 0 | 0.00 | 0 |
| Ron Harris | 2034-2034 | .000 | 0 | 0 | 0 | 2 | 5 | 3.18 | 33 |
| Joe Havermeyer | 2037-2037 | .305 | 0 | 37 | 0 | 0 | 0 | 0.00 | 0 |
| Rob Hawkins | 2036-2036 | .208 | 1 | 4 | 0 | 0 | 0 | 0.00 | 0 |
| Tekkan Hayagawa | 2032-2032 | .247 | 0 | 21 | 0 | 0 | 0 | 0.00 | 0 |
| Tom Hegedus | 2032-2032 | .000 | 0 | 0 | 2 | 5 | 4 | 3.99 | 54 |
| Tokaji Heida | 2036-2036 | .320 | 3 | 34 | 0 | 0 | 0 | 0.00 | 0 |
| Danny Hensley | 2037-2037 | .238 | 3 | 25 | 0 | 0 | 0 | 0.00 | 0 |
| Jim Henson | 2037-2037 | .197 | 0 | 4 | 0 | 0 | 0 | 0.00 | 0 |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
| Aklilu Heri | 2036-2036 | .296 | 1 | 32 | 0 | 0 | 0 | 0.00 | 0 |
| Andrés Hernández | 2032-2033 | .244 | 3 | 41 | 0 | 0 | 0 | 0.00 | 0 |
| Carlos Hernández | 2035-2036 | .071 | 0 | 0 | 8 | 7 | 15 | 3.25 | 138 |
| César Hernández | 2037-2037 | .154 | 0 | 0 | 3 | 3 | 0 | 4.42 | 38 |
| Felipe Hernández | 2034-2034 | .223 | 1 | 22 | 0 | 0 | 0 | 0.00 | 0 |
| Francisco Hernández | 2037-2037 | .000 | 0 | 0 | 0 | 0 | 0 | 5.59 | 17 |
| Gerardo Hernández | 2035-2035 | .000 | 0 | 0 | 1 | 6 | 0 | 4.13 | 53 |
| Martín Hernández | 2037-2037 | .103 | 0 | 2 | 0 | 0 | 0 | 0.00 | 0 |
| Orlando Hernández | 2033-2034 | .185 | 0 | 2 | 12 | 13 | 1 | 3.57 | 201 |
| Salvador Hernández | 2032-2032 | .288 | 1 | 28 | 0 | 0 | 0 | 0.00 | 0 |
| Wilson Hernández | 2034-2035 | .297 | 12 | 47 | 0 | 0 | 0 | 0.00 | 0 |
| Dylan Herrera | 2032-2032 | .216 | 1 | 10 | 0 | 0 | 0 | 0.00 | 0 |
| Mario Herrera | 2037-2037 | .000 | 0 | 0 | 3 | 2 | 2 | 3.24 | 37 |
| Dave Herring | 2032-2032 | .168 | 2 | 11 | 0 | 0 | 0 | 0.00 | 0 |
| Victor Heuvelink | 2035-2035 | .000 | 0 | 0 | 3 | 1 | 0 | 3.23 | 27 |
| Bernard Hewer | 2037-2037 | .000 | 0 | 0 | 9 | 6 | 1 | 2.47 | 105 |
| Cole Hewitt | 2036-2036 | .188 | 2 | 9 | 0 | 0 | 0 | 0.00 | 0 |
| Eddie Hickford | 2035-2035 | .260 | 3 | 12 | 0 | 0 | 0 | 0.00 | 0 |
| Donald Higgins | 2032-2033 | .000 | 0 | 0 | 0 | 2 | 0 | 4.95 | 23 |
| Charlie Hilder | 2037-2037 | .000 | 0 | 0 | 2 | 3 | 0 | 2.88 | 38 |
| Bob Hill | 2036-2037 | .257 | 7 | 44 | 0 | 0 | 0 | 0.00 | 0 |
| Dave Hill | 2036-2036 | .260 | 1 | 11 | 0 | 0 | 0 | 0.00 | 0 |
| Jon Hill | 2033-2033 | .248 | 4 | 18 | 0 | 0 | 0 | 0.00 | 0 |
| Dan Hines | 2035-2035 | .257 | 11 | 30 | 0 | 0 | 0 | 0.00 | 0 |
| Estanislao Hirigoyen | 2034-2035 | .271 | 6 | 77 | 0 | 0 | 0 | 0.00 | 0 |
| Semo Hoaloha | 2032-2032 | .286 | 4 | 24 | 0 | 0 | 0 | 0.00 | 0 |
| Archie Hodges | 2032-2032 | .000 | 0 | 0 | 2 | 1 | 0 | 5.93 | 19 |
| Sherman Hoffman | 2032-2033 | .277 | 2 | 45 | 0 | 0 | 0 | 0.00 | 0 |
| Peter Holland | 2034-2034 | .288 | 7 | 33 | 0 | 0 | 0 | 0.00 | 0 |
| Tom Holloway | 2032-2032 | .000 | 0 | 0 | 0 | 0 | 0 | 1.26 | 10 |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
| J.J. Holmes | 2032-2032 | .321 | 0 | 6 | 0 | 0 | 0 | 0.00 | 0 |
| Bjorn Hondelink | 2034-2034 | .000 | 0 | 0 | 2 | 5 | 1 | 4.34 | 53 |
| Dan Horan | 2036-2036 | .000 | 0 | 0 | 3 | 5 | 4 | 7.32 | 36 |
| Cord Hosenbeck | 2033-2033 | .276 | 1 | 17 | 0 | 0 | 0 | 0.00 | 0 |
| Kullervo Hostikka | 2034-2035 | .000 | 0 | 0 | 3 | 11 | 0 | 4.50 | 108 |
| Freddy Howe | 2036-2037 | .000 | 0 | 0 | 5 | 10 | 2 | 6.28 | 120 |
| Artzouig Hreghen | 2037-2037 | .000 | 0 | 0 | 0 | 1 | 0 | 4.02 | 18 |
| Jing Hsi | 2033-2033 | .000 | 0 | 0 | 1 | 2 | 0 | 4.79 | 53 |
| Ju-wei Huang | 2032-2032 | .253 | 0 | 16 | 0 | 0 | 0 | 0.00 | 0 |
| Xiao-yong Huang | 2037-2037 | .273 | 1 | 19 | 0 | 0 | 0 | 0.00 | 0 |
| Jon Huband | 2032-2032 | .286 | 7 | 34 | 0 | 0 | 0 | 0.00 | 0 |
| Rick Hubbard | 2034-2037 | .000 | 0 | 0 | 8 | 10 | 0 | 4.19 | 180 |
| Norberto Huerta | 2037-2037 | .000 | 0 | 0 | 5 | 9 | 0 | 3.67 | 91 |
| Tomás Huesca | 2032-2032 | .000 | 0 | 0 | 0 | 1 | 0 | 3.00 | 6 |
| Brandon Hughes | 2034-2034 | .000 | 0 | 0 | 6 | 1 | 5 | 1.91 | 26 |
| Michael Hughes | 2032-2032 | .253 | 2 | 19 | 0 | 0 | 0 | 0.00 | 0 |
| Dusty Hunt | 2034-2034 | .226 | 3 | 31 | 0 | 0 | 0 | 0.00 | 0 |
| Matthew Hunt | 2035-2036 | .289 | 0 | 13 | 0 | 0 | 0 | 0.00 | 0 |
| Jamie Hunter | 2037-2037 | .000 | 0 | 0 | 5 | 2 | 0 | 2.61 | 86 |
| Ellis Huntley | 2037-2037 | .000 | 0 | 0 | 0 | 2 | 1 | 8.68 | 6 |
| Jon Hutchins | 2036-2037 | .221 | 1 | 28 | 0 | 0 | 0 | 0.00 | 0 |
