Is there blood circulation in the coronary arteries?

Yes, except: Yes, except in areas of infarction where the myocardial cells have died. Infarcted myocardium is dead heart tissue. This is usually the result of a myocardium infarction, mi, or heart attack. The purpose of a cardiac intervention: balloon angioplasty or stent, is to save this tissue before the process becomes irreversible.

Coronary arteries: If there isn't blood circulation in the coronary arteries, you die. There most certainly is normally circulation of blood in the coronaries.