Hi, I have experienced this too. So far what worked was setting scale mesh as the last thing and using small sizes. CPU workaround did not do the trick. And honestly I would like to use GPU for performance reasons. I am on UE5. I must say that I do not encounter this problem with sprites.
currently using 4.62, GPU particles
I never met the problem before, all worked correctly.
10 days ago my particles went well, 10 days later they start flickering my eyes, but actually I didn’t even open my project in the 10 days.
Switch to CPU will fix the flickering, but does anyone know other solutions? I still want to keep my particle in GPU simulation 
update after only 20 min:
I just forget to delete the SceneCaptureCube…
but curious about why other particles won’t flicker under the same situation…
nvm
Reduce the spawn rate under emitter update helps! (I am using ue5 with GPU cuz I found no difference between CPU and GPU, both flicker)
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2022/10/17 And this problem still exists!
Like lansss already said. This should be solved if you set the Sort Mode to View Depth or Distance under Sprite Renderer.
Finally I could fixed flickerling because of you. I made flames with niagara and when turn on Light Renderer then lights flickered. Reduced the spawn rate and now there’s no flickering. You saved my time!! Thanks 
This worked for me, thanks!