If you are using the Bracket Race to feature where you tell the system what the race is based on the Bracket Rounds. 

Ex. Winner side race to 3, Loser side race to 2.

Same or different on Winner or Loser side but it's the same for everyone in the round.

You don't need to set anything on the players.

First you will set the round races: How to set a different Race to on the Winner and Loser side.

Then you will go to Menu ­­­­­­> Manage > Brackets/Round-Robins > Brackets.

Select the bracket,

Pencil to edit,

Go to Public Visibility and Display Options section,

Choose Wins/Race under Results to show in chart/bracket/match detail.

It will look like this: