Isabella Kaufman answered question 12/6/2010 My Dog Has A Honking Cough. Can I Give Her Something Over The Counter For It If So How Much? DO NOT give your dog (or cat) TYLENOL (or acetaminophen). It is very, very, very bad for your dog. I hope that this is very clear. It is TOXIC to them!!! To read more you can go to: www.petplace.com/dogs/acetaminophen-toxicity-in-dogs/page1.a