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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 |
|---|---|---|---|---|---|---|---|---|---|
| Josh Hader | 2020-2020 | .000 | 0 | 0 | 3 | 3 | 22 | 5.49 | 101 |
| Cole Hamels | 2020-2020 | .000 | 0 | 0 | 7 | 7 | 3 | 5.43 | 95 |
| Billy Hamilton | 2020-2020 | .246 | 1 | 37 | 0 | 0 | 0 | 0.00 | 0 |
| Ian Hamilton | 2020-2020 | .000 | 0 | 0 | 0 | 3 | 1 | 9.00 | 10 |
| Garrett Hampson | 2020-2020 | .250 | 0 | 1 | 0 | 0 | 0 | 0.00 | 0 |
| Brad Hand | 2020-2020 | .000 | 0 | 0 | 6 | 6 | 26 | 4.84 | 87 |
| Mitch Haniger | 2020-2020 | .207 | 18 | 62 | 0 | 0 | 0 | 0.00 | 0 |
| Ian Happ | 2020-2020 | .271 | 50 | 117 | 0 | 0 | 0 | 0.00 | 0 |
| J.A. Happ | 2020-2020 | .000 | 0 | 0 | 3 | 7 | 0 | 6.52 | 98 |
| Bryce Harper | 2020-2020 | .271 | 50 | 121 | 0 | 0 | 0 | 0.00 | 0 |
| Will Harris | 2020-2020 | .000 | 0 | 0 | 3 | 10 | 14 | 6.54 | 80 |
| Monte Harrison | 2020-2020 | .286 | 2 | 3 | 0 | 0 | 0 | 0.00 | 0 |
| Hunter Harvey | 2020-2020 | .000 | 0 | 0 | 0 | 1 | 0 | 6.43 | 10 |
| Adam Haseley | 2020-2020 | .268 | 17 | 61 | 0 | 0 | 0 | 0.00 | 0 |
| Ke'Bryan Hayes | 2020-2020 | .356 | 3 | 27 | 0 | 0 | 0 | 0.00 | 0 |
| Austin Hays | 2020-2020 | .243 | 20 | 64 | 0 | 0 | 0 | 0.00 | 1 |
| Ryon Healy | 2020-2020 | .269 | 12 | 41 | 0 | 0 | 0 | 0.00 | 0 |
| Andrew Heaney | 2020-2020 | .000 | 0 | 0 | 11 | 11 | 0 | 3.91 | 248 |
| Nick Heath | 2020-2020 | .167 | 1 | 2 | 0 | 0 | 0 | 0.00 | 0 |
| Adeiny Hechavarria | 2020-2020 | .212 | 1 | 6 | 0 | 0 | 0 | 0.00 | 0 |
| Austin Hedges | 2020-2020 | .259 | 20 | 41 | 0 | 0 | 0 | 0.00 | 0 |
| Tyler Heineman | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 0 | 0.00 | 0 |
| Ryan Helsley | 2020-2020 | .000 | 0 | 0 | 4 | 6 | 1 | 3.87 | 147 |
| Kyle Hendricks | 2020-2020 | .000 | 0 | 0 | 8 | 7 | 0 | 5.63 | 141 |
| Liam Hendriks | 2020-2020 | .000 | 0 | 0 | 6 | 8 | 24 | 3.25 | 95 |
| Guillermo Heredia | 2020-2020 | .367 | 2 | 9 | 0 | 0 | 0 | 0.00 | 0 |
| Cesar Hernandez | 2020-2020 | .255 | 13 | 38 | 0 | 0 | 0 | 0.00 | 0 |
| Darwinzon Hernandez | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 0 | 6.00 | 48 |
| Enrique Hernandez | 2020-2020 | .231 | 8 | 35 | 0 | 0 | 0 | 9.82 | 1 |
| Teoscar Hernandez | 2020-2020 | .185 | 6 | 19 | 0 | 0 | 0 | 0.00 | 0 |
| Player | From-To | Avg | HR | RBI | W | L | SV | ERA | K |
| Yadiel Hernandez | 2020-2020 | .140 | 4 | 12 | 0 | 0 | 0 | 0.00 | 0 |
| Jason Heyward | 2020-2020 | .301 | 12 | 41 | 0 | 0 | 0 | 0.00 | 0 |
| Aaron Hicks | 2020-2020 | .227 | 14 | 37 | 0 | 0 | 0 | 0.00 | 0 |
| John Hicks | 2020-2020 | .261 | 6 | 12 | 0 | 0 | 0 | 20.25 | 2 |
| Jordan Hicks | 2020-2020 | .000 | 0 | 0 | 5 | 0 | 3 | 1.15 | 48 |
| Kyle Higashioka | 2020-2020 | .257 | 22 | 70 | 0 | 0 | 0 | 0.00 | 0 |
| Derek Hill | 2020-2020 | .149 | 1 | 13 | 0 | 0 | 0 | 0.00 | 0 |
| Rich Hill | 2020-2020 | .000 | 0 | 0 | 2 | 3 | 1 | 9.13 | 22 |
| Sam Hilliard | 2020-2020 | .190 | 2 | 5 | 0 | 0 | 0 | 0.00 | 0 |
| Yoshihisa Hirano | 2020-2020 | .000 | 0 | 0 | 2 | 3 | 2 | 6.04 | 21 |
| Keston Hiura | 2020-2020 | .244 | 30 | 73 | 0 | 0 | 0 | 0.00 | 0 |
| Nico Hoerner | 2020-2020 | .303 | 2 | 38 | 0 | 0 | 0 | 0.00 | 0 |
| Jeff Hoffman | 2020-2020 | .000 | 0 | 0 | 0 | 0 | 0 | 4.50 | 9 |
| Jonathan Holder | 2020-2020 | .000 | 0 | 0 | 2 | 1 | 3 | 5.61 | 53 |
| Brock Holt | 2020-2020 | .280 | 14 | 52 | 0 | 0 | 0 | 0.00 | 0 |
| Brent Honeywell Jr. | 2020-2020 | .000 | 0 | 0 | 7 | 9 | 0 | 4.68 | 157 |
| Rhys Hoskins | 2020-2020 | .216 | 29 | 89 | 0 | 0 | 0 | 0.00 | 0 |
| Eric Hosmer | 2020-2020 | .239 | 13 | 46 | 0 | 0 | 0 | 0.00 | 0 |
| Tanner Houck | 2020-2020 | .000 | 0 | 0 | 2 | 1 | 0 | 1.46 | 25 |
| Adrian Houser | 2020-2020 | .000 | 0 | 0 | 10 | 14 | 0 | 4.54 | 160 |
| Spencer Howard | 2020-2020 | .000 | 0 | 0 | 3 | 3 | 0 | 5.88 | 67 |
| Bryan Hudson | 2020-2020 | .000 | 0 | 0 | 1 | 1 | 0 | 7.30 | 10 |
| Dakota Hudson | 2020-2020 | .000 | 0 | 0 | 8 | 8 | 0 | 4.19 | 179 |
| Daniel Hudson | 2020-2020 | .000 | 0 | 0 | 4 | 2 | 1 | 5.40 | 31 |
| Danny Hultzen | 2020-2020 | .000 | 0 | 0 | 0 | 3 | 1 | 4.85 | 17 |
| Tommy Hunter | 2020-2020 | .000 | 0 | 0 | 0 | 1 | 0 | 10.80 | 12 |
