I could install, and run the game, which started the origin launcher, I could login to it, and then I could press play to start the game, but that completely crashed my computer, and the screen got into power saving mode. I had to edit :

.local/share/Steam/steamapps/compatdata/1313860/pfx/drive_c/users/steamuser/My\ Documents/FIFA\ 21/fifasetup.ini

and have those values in it :

AUDIO_MIX_MODE = 0
CONFIG_APP_LOCALE = en-US
CONTROLLER_DEFAULT = 0
DIRECTX_SELECT = 1
FULLSCREEN = 0
MSAA_LEVEL = 0
RENDERINGQUALITY = 0
RESOLUTIONHEIGHT = 720
RESOLUTIONWIDTH = 1280
VOICECHAT = 0
WAITFORVSYNC = 0
WINDOWED_BORDERLESS = 1
WINDOWTITLE = "FIFA 21"

And also, the file :

.local/share/Steam/steamapps/common/FIFA\ 21/FIFASetup/config.ini

had to have :

LAUNCH_EXE = FIFA21.exe
SETTING_FOLDER = 'FIFA 21'
AUTO_LAUNCH = 1

Once this was done, the game could be started from Steam directly, and it works fine, but the controller does not work for me.