Could you please put out the cigarette?

请把香烟熄灭好吗？

youdao

Jake: Then a man started to smoke, the woman pointed to the non-smoking sign and asked him to put out the cigarette.

杰克：然后一个男士开始抽烟，女士指着禁烟标志，请他掐灭香烟。

youdao

I asked him in the nicest possible way to put his cigarette out.

我尽量客气地请他把香烟掐了。

《牛津词典》

Toxic particles in cigarette smoke can remain on nearby surfaces, as well as the hair and clothing of the smoker, long after the cigarette has been put out, and small children are susceptible because they are likely to breathe in close proximity, or even lick and suck them.

BBC: Warning over 'third-hand smoke'

Whether he was a homeless person camping, or a golfer who threw a cigarette out onto the golf course and then tried to put the flames out.

NPR: L.A. Fires Force Evacuation of Park, Zoo