What is Eszopiclone? Eszopiclone oral capsules are available as generic drugs under brand-name drugs. Lunesta is the brand of Eszopiclone. This medicine is taken orally and that's the reason it comes in a capsule form that you can take by mouth. Eszopiclone dosage is commonly adopted by adults to handle the difficulty of insomnia (anxiety in falling asleep, keeping up asleep, or...