Did you used the Itch Store app? Did you downloaded from the website? What linux distro are you using? What package have you downloaded from the game? We've ran successfully on two test machines (Debian x64 and Ubuntu x64).
Hello again, and sorry for the late answer.
I'm using the Itch app on Arch Linux, and I let the app manage the install. The error message I'm getting is "no executable found".
This is a know issue with the Itch store. I recommend installing it from the website, not the steam like itch store app. Several softwares will give you problem when installed through the store.