The Windows version can run on Linux through the use of Wine. The Itch Desktop client for Linux will let you download the Windows version of this and other games on the Itch platform and try to run them through Wine using your default wineprefix (meaning that, to the typical user, it can be a near-native experience when it works). Alternatively, you can download and decompress the .zip file and run Wine on Game.exe yourself.
I just did a test, and this game works with a clean wineprefix when using Wine version 9.17. With that said, if you've used winetricks on your default wineprefix previously, it's entirely possible that one of those might cause Wine to not correctly run this game; this can be addressed either by running the game from the command line with a different WINEPREFIX variable set (at the cost of inconvenience) or by deleting your default wineprefix directory, which is probably located at ~/.wine (at the cost of losing any winetricks compatibility fixes for other applications/games that you've done on that wineprefix).