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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 | 2015-2019 | .000 | 0 | 0 | 5 | 3 | 3 | 5.48 | 123 |
| John Hamilton | 2019-2019 | .000 | 0 | 0 | 3 | 6 | 0 | 5.56 | 67 |
| John Hao | 2017-2017 | .000 | 0 | 0 | 2 | 4 | 0 | 6.37 | 26 |
| Colt Harris | 2015-2019 | .000 | 0 | 0 | 2 | 0 | 1 | 5.26 | 75 |
| Stanley Harris | 2017-2018 | .000 | 0 | 0 | 2 | 7 | 4 | 6.37 | 82 |
| Tim Harris | 2019-2019 | .000 | 0 | 0 | 4 | 5 | 0 | 5.80 | 46 |
| Rick Harrison | 2017-2017 | .297 | 5 | 23 | 0 | 0 | 0 | 0.00 | 0 |
| Lou Hartling | 2019-2019 | .000 | 0 | 0 | 5 | 1 | 0 | 4.34 | 41 |
| Marty Hayden | 2016-2016 | .214 | 2 | 9 | 0 | 0 | 0 | 0.00 | 0 |
| John Hayes | 2016-2016 | .354 | 7 | 20 | 0 | 0 | 0 | 0.00 | 0 |
| Sal Haynes | 2019-2019 | .336 | 1 | 20 | 0 | 0 | 0 | 0.00 | 0 |
| Bob Heller | 2016-2016 | .381 | 5 | 10 | 0 | 0 | 0 | 0.00 | 0 |
| Chris Henderson | 2016-2016 | .247 | 3 | 16 | 0 | 0 | 0 | 0.00 | 0 |
| Fraser Henderson | 2017-2017 | .091 | 0 | 1 | 0 | 0 | 0 | 0.00 | 0 |
| Jerry Henderson | 2018-2019 | .000 | 0 | 0 | 3 | 3 | 2 | 8.16 | 36 |
| Kevin Henderson | 2018-2019 | .000 | 0 | 0 | 6 | 2 | 7 | 1.82 | 64 |
| Stu Henderson | 2015-2019 | .285 | 15 | 48 | 0 | 0 | 0 | 0.00 | 0 |
| Adam Hennessey | 2018-2019 | .323 | 29 | 108 | 0 | 0 | 0 | 0.00 | 0 |
| Cam Herman | 2017-2017 | .000 | 0 | 0 | 1 | 5 | 0 | 5.40 | 51 |
| Adrián Hernández | 2016-2016 | .000 | 0 | 0 | 5 | 4 | 0 | 4.96 | 50 |
| António Hernández | 2019-2019 | .000 | 0 | 0 | 1 | 1 | 0 | 5.40 | 15 |
| José Carlos Hernández | 2016-2016 | .000 | 0 | 0 | 0 | 2 | 1 | 7.57 | 35 |
| Paco Hernández | 2016-2017 | .331 | 7 | 16 | 0 | 0 | 0 | 0.00 | 0 |
| Santiago Hernández | 2015-2016 | .000 | 0 | 0 | 2 | 1 | 6 | 5.89 | 81 |
| Armando Herrera | 2016-2016 | .154 | 1 | 2 | 0 | 0 | 0 | 0.00 | 0 |
| Bernardo Herrera | 2019-2019 | .337 | 4 | 17 | 0 | 0 | 0 | 0.00 | 0 |
| Pablo Herrera | 2018-2018 | .000 | 0 | 0 | 1 | 0 | 0 | 4.50 | 11 |
| Ken Herring | 2016-2019 | .115 | 0 | 2 | 0 | 0 | 0 | 0.00 | 0 |
| Bobby Hicks | 2015-2015 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 1 |
| Chris Hill | 2018-2018 | .325 | 10 | 38 | 0 | 0 | 0 | 0.00 | 0 |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
| Robert Hill | 2019-2019 | .274 | 12 | 50 | 0 | 0 | 0 | 0.00 | 0 |
| Todd Hill | 2018-2019 | .319 | 25 | 86 | 0 | 0 | 0 | 0.00 | 0 |
| Mark Hines | 2017-2017 | .287 | 8 | 37 | 0 | 0 | 0 | 0.00 | 0 |
| Steve Hinkle | 2017-2017 | .306 | 5 | 36 | 0 | 0 | 0 | 0.00 | 0 |
| Lance Hodges | 2019-2019 | .000 | 0 | 0 | 1 | 1 | 0 | 4.80 | 28 |
| Steven Hodnett | 2017-2017 | .000 | 0 | 0 | 0 | 1 | 0 | 5.01 | 28 |
| Randy Hoffman | 2017-2018 | .000 | 0 | 0 | 8 | 7 | 0 | 5.41 | 151 |
| Sherwood Hoffman | 2016-2016 | .311 | 24 | 94 | 0 | 0 | 0 | 0.00 | 0 |
| John Holley | 2019-2019 | .000 | 0 | 0 | 0 | 1 | 0 | 9.64 | 9 |
| Gerald Holloway | 2017-2019 | .336 | 20 | 93 | 0 | 0 | 0 | 0.00 | 0 |
| Eric Holt | 2015-2019 | .000 | 0 | 0 | 5 | 1 | 0 | 5.03 | 50 |
| Mike Hornberger | 2017-2018 | .000 | 0 | 0 | 11 | 12 | 0 | 5.29 | 165 |
| Sam Horton | 2019-2019 | .333 | 0 | 1 | 0 | 0 | 0 | 0.00 | 0 |
| George House | 2019-2019 | .000 | 0 | 0 | 6 | 7 | 0 | 4.75 | 78 |
| Fai Huang | 2015-2015 | .310 | 2 | 33 | 0 | 0 | 0 | 0.00 | 0 |
| Stan Hughes | 2017-2019 | .320 | 18 | 80 | 0 | 0 | 0 | 0.00 | 0 |
| Pat Hunt | 2019-2019 | .000 | 0 | 0 | 3 | 8 | 0 | 5.72 | 79 |
| Donald Hutchinson | 2015-2015 | .000 | 0 | 0 | 5 | 4 | 0 | 6.18 | 51 |
| Jake Hutchinson | 2017-2019 | .275 | 10 | 68 | 0 | 1 | 0 | 14.40 | 2 |
| Kelly Hyde | 2019-2019 | .000 | 0 | 0 | 1 | 0 | 0 | 4.67 | 33 |
