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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 |
|---|---|---|---|---|---|---|---|---|---|
| Mike Hafner | 2036-2036 | .260 | 6 | 16 | 0 | 0 | 0 | 0.00 | 0 |
| Justin Hall | 2036-2036 | .204 | 2 | 9 | 0 | 0 | 0 | 0.00 | 0 |
| Rich Halleman | 2042-2042 | .200 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Eddie Hamilton | 2040-2040 | .000 | 0 | 0 | 0 | 0 | 0 | 7.66 | 26 |
| Justin Hamilton | 2037-2037 | .000 | 0 | 0 | 2 | 2 | 1 | 2.76 | 47 |
| Chris Hammond | 2039-2039 | .265 | 7 | 13 | 0 | 0 | 0 | 0.00 | 0 |
| Eric Hancock | 2042-2042 | .314 | 10 | 24 | 0 | 0 | 0 | 0.00 | 0 |
| Jonathan Hanna | 2042-2042 | .000 | 0 | 0 | 2 | 1 | 0 | 1.47 | 15 |
| Jeremy Hansen | 2040-2040 | .000 | 0 | 0 | 1 | 1 | 0 | 1.80 | 10 |
| Karl Hanson | 2039-2039 | .000 | 0 | 0 | 0 | 0 | 0 | 2.79 | 7 |
| Matt Hanson | 2036-2036 | .250 | 0 | 11 | 0 | 0 | 0 | 0.00 | 0 |
| J.D. Hardee | 2040-2040 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Bryan Harris | 2042-2042 | .364 | 1 | 3 | 0 | 0 | 0 | 0.00 | 0 |
| Dwayne Harris | 2036-2036 | .000 | 0 | 0 | 3 | 2 | 0 | 3.44 | 52 |
| Tim Harrison | 2042-2042 | .000 | 0 | 0 | 4 | 2 | 0 | 2.78 | 43 |
| Jeremy Harrod | 2041-2042 | .214 | 5 | 35 | 0 | 0 | 0 | 0.00 | 0 |
| Jim Hart | 2039-2040 | .292 | 16 | 36 | 0 | 0 | 0 | 0.00 | 0 |
| Bob Hartley | 2041-2042 | .000 | 0 | 0 | 5 | 1 | 2 | 1.96 | 72 |
| Danny Hartman | 2042-2042 | .333 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Alan Haslam | 2041-2042 | .000 | 0 | 0 | 3 | 0 | 1 | 2.56 | 71 |
| Gabe Hatchett | 2037-2037 | .000 | 0 | 0 | 1 | 1 | 0 | 2.89 | 9 |
| Ken Hauge | 2042-2042 | .000 | 0 | 0 | 0 | 0 | 0 | 3.00 | 9 |
| Macerio Hayes | 2039-2039 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Malik Haywood | 2040-2040 | .000 | 0 | 0 | 2 | 2 | 0 | 5.35 | 31 |
| Joe Heathman | 2042-2042 | .276 | 1 | 8 | 0 | 0 | 0 | 0.00 | 0 |
| Austin Heil | 2042-2042 | .000 | 0 | 0 | 2 | 3 | 0 | 5.62 | 28 |
| Kyle Hemingway | 2042-2042 | .000 | 0 | 0 | 1 | 0 | 11 | 2.51 | 16 |
| Skyler Henrickson | 2042-2042 | .371 | 2 | 26 | 0 | 0 | 0 | 0.00 | 0 |
| Jason Hensley | 2039-2039 | .340 | 0 | 16 | 0 | 0 | 0 | 0.00 | 0 |
| Dave Hernandez | 2041-2041 | .000 | 0 | 0 | 2 | 1 | 0 | 3.80 | 24 |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
| Edgar Hernandez | 2042-2042 | .286 | 3 | 22 | 0 | 0 | 0 | 0.00 | 0 |
| Elias Hernandez | 2041-2042 | .299 | 10 | 41 | 0 | 0 | 0 | 0.00 | 0 |
| Javier Hernandez | 2041-2042 | .000 | 0 | 0 | 3 | 2 | 0 | 5.79 | 26 |
| Carlos Herrera | 2040-2040 | .000 | 0 | 0 | 0 | 0 | 0 | 8.38 | 7 |
| Joe Herrera | 2042-2042 | .379 | 5 | 20 | 0 | 0 | 0 | 0.00 | 0 |
| Josh Hertl | 2040-2040 | .000 | 0 | 0 | 2 | 4 | 0 | 3.23 | 42 |
| David Herzog | 2042-2042 | .000 | 0 | 0 | 1 | 0 | 1 | 4.35 | 24 |
| Matt Hess | 2042-2042 | .300 | 1 | 4 | 0 | 0 | 0 | 0.00 | 0 |
| Joey Hester | 2042-2042 | .000 | 0 | 0 | 0 | 1 | 3 | 2.45 | 15 |
| Manny Hiciano | 2042-2042 | .000 | 0 | 0 | 1 | 0 | 2 | 1.76 | 17 |
| Harrison Hickey | 2040-2040 | .000 | 0 | 0 | 2 | 2 | 0 | 4.29 | 27 |
| Sam Hicks | 2037-2037 | .250 | 5 | 21 | 0 | 0 | 0 | 0.00 | 0 |
| Alex Hidalgo | 2041-2041 | .000 | 0 | 0 | 3 | 1 | 0 | 2.86 | 21 |
| Bill Higginbotham | 2039-2039 | .000 | 0 | 0 | 0 | 1 | 2 | 4.34 | 27 |
| Morgan Hill | 2036-2036 | .000 | 0 | 0 | 2 | 2 | 7 | 4.22 | 11 |
| John Hines | 2037-2037 | .254 | 2 | 4 | 0 | 0 | 0 | 0.00 | 0 |
| Alex Hinojosa | 2042-2042 | .000 | 0 | 0 | 1 | 0 | 0 | 4.41 | 20 |
| Ben Hinton | 2042-2042 | .362 | 3 | 9 | 0 | 0 | 0 | 0.00 | 0 |
| Tom Hirneisen | 2039-2039 | .263 | 1 | 10 | 0 | 0 | 0 | 0.00 | 0 |
| Josh Hoekstra | 2042-2042 | .000 | 0 | 0 | 5 | 0 | 0 | 2.65 | 31 |
| Joel Holbrook | 2039-2039 | .308 | 3 | 10 | 0 | 0 | 0 | 0.00 | 0 |
| Aubrey Holland | 2037-2037 | .256 | 5 | 15 | 0 | 0 | 0 | 0.00 | 0 |
| Danny Holland | 2039-2040 | .271 | 1 | 8 | 0 | 0 | 0 | 0.00 | 0 |
| Tristan Holland | 2037-2037 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 1 |
| Jayden Holmes | 2042-2042 | .198 | 3 | 12 | 0 | 0 | 0 | 0.00 | 0 |
| Andrew Hooper | 2042-2042 | .295 | 2 | 16 | 0 | 0 | 0 | 0.00 | 0 |
| Steve Hoopes | 2039-2039 | .000 | 0 | 0 | 4 | 3 | 0 | 4.60 | 46 |
| Zach Horton | 2042-2042 | .000 | 0 | 0 | 0 | 0 | 1 | 0.00 | 5 |
| Ethan Hosley | 2041-2041 | .246 | 4 | 15 | 0 | 0 | 0 | 0.00 | 0 |
| Joe Howard | 2042-2042 | .000 | 0 | 0 | 0 | 0 | 3 | 1.08 | 10 |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
| Andy Hoyt | 2042-2042 | .000 | 0 | 0 | 1 | 0 | 2 | 0.57 | 20 |
| Myles Hudson | 2042-2042 | .306 | 1 | 8 | 0 | 0 | 0 | 0.00 | 0 |
| Greg Huebner | 2042-2042 | .000 | 0 | 0 | 2 | 0 | 1 | 2.31 | 25 |
| Kyle Hueser | 2036-2036 | .294 | 3 | 9 | 0 | 0 | 0 | 0.00 | 0 |
| Ryan Humel | 2040-2042 | .324 | 12 | 52 | 0 | 0 | 0 | 0.00 | 0 |
| Bill Humphrey | 2036-2036 | .270 | 1 | 11 | 0 | 0 | 0 | 0.00 | 0 |
| Nick Hunter | 2039-2039 | .000 | 0 | 0 | 0 | 1 | 0 | 6.17 | 27 |
| Ramiro Hurtado | 2042-2042 | .174 | 0 | 4 | 0 | 0 | 0 | 0.00 | 0 |
| Zach Hylton | 2037-2037 | .000 | 0 | 0 | 1 | 1 | 0 | 6.43 | 7 |
