Forum rules Please be as descriptive as possible in your posts (list your hardware and operating system, the version of the source port you are using, any mods you are running and how they're being loaded, etc.)
This will help others to give you a solution!
Pi's have been running GZDoom since the 2nd generation at least, maybe even in the 1st gen. (That's more than 10 years ago)
Frame rates are not exactly "fluid" per se, and a lot of it will depend on the native resolution of your desktop (pixel fill rate is a killer on mobile processors), but generally it does work. If you're planning slaughter maps or any "brutal" style mod though - forget it. The Pi's rather humble processor simply can't handle those.
Also you will need to use builds that are compiled for arm64 - technically amd64 builds can be emulated but they will be really slow.