Yes coffee is good for your liver and if you drink coffee daily you can improve your liver health and also lower your risk of cirrhosis by as much as 80%
To get the full health benefits of coffee you should drink at least 4 cups of coffee per day.
Coffee has also been shown in studies to improve your heart health as well and if you drink coffee daily you may also prevent dementia from occurring.
Coffee is healthy in moderation but you can drink around 12 cups per day if you want too and still be healthy.
I drink 12 cups of coffee through the day myself and I always have a cup of coffee in the morning even before showering because I cannot function without my morning coffee.