Quick answerOnly through Wine (community)
Not officially. EA has no Linux version of app, but the community Lutris project runs it through Wine.
Running EA app through Wine
The community Lutris project runs the Windows version of EA app under Wine. It is unofficial and can break after updates.
Best EA app alternatives for Linux
Sources
EA app on Linux: common questions
Does EA app work on Linux?
Not officially. EA has no Linux version of app, but the community Lutris project runs it through Wine.
What is the best Linux alternative to EA app?
Steam is the closest alternative that runs on Linux. Steam: Valve publishes an official Linux version of Steam. It’s on Flathub (5.7M installs) and in the Arch Linux and openSUSE Tumbleweed repositories.