From a strictly grammatical point of view, it is. Logically, I can't imagine a situation in which I would tell someone not to "fake coughing".

Xerxes From a strictly grammatical point of view, it is. Logically, I can't imagine a situation in which I would tell someone not to "fake coughing".

Thank you.

What does 'don't fake coughing' mean to you? Is it asking someone not to cough a fake ones?

onizoWhat does 'don't fake coughing' mean to you? Is it asking someone not to cough a fake ones?

I would take it to mean that someone is pretending to cough but is not really coughing.

XerxesI would take it to mean that someone is pretending to cough but is not really coughing.

…and yes, I am asking that person to stop pretending.

Thank you.

Is it also possible to say 'don't fake a cough'?
And when it comes to a sneeze, which version would be often used, (don't fake) a sneeze or sneezing?

Onizo, you continue providing examples of sentences that I would never conceivably say in any situation. What you are trying to say? Why would you tell someone to stop faking coughing?

This also applies to sneezes and, heaven forbid, farts, should you decide to ask me about that as well.

It's not to someone else but to my child only.
if possible, can you get back on my last question?

Why not say it the way native English speakers say it?

Stop pretending ( (that) you have ) to cough.
Stop pretending ( (that) you have ) to sneeze.

CJ

CalifJimWhy not say it the way native English speakers say it?Stop pretending ( (that) you have ) to cough.Stop pretending ( (that) you have ) to sneeze.CJ

Good point. Didn't know even if you used it. Thought it was just a variation.
but still, please go back to my last question and tell me which version is used or correct.

onizowhich version is used

Those are not used. That's why I gave you the ones that are used. OK?

"Don't fake a [cough / sneeze]" are grammatically correct, but so are thousands of other sentences that we never say. Besides, you almost certainly wouldn't say this to a child.

CJ