No DOOM I or II available for Linux.
Play Doom on your Linux machine can be achieved with DOOM I or II for Linux.
Likely not, though I assume there are some custom-made versions that work on Linux
The initial result found was that Doom Legacy was officially released for Linux via ID Software.
It would be unexpected that no one has adapted any of them for Linux.
DOSBox functions effectively.
Brutal Doom Linux installation manual Step-by-step setup instructions
Even WINE is suitable for use.
Wine offers compatibility for running DOS games like Doom. Dosbox should function properly with it.
I'm happy to help with that request.