Broken blood vessels may look frightening and painful, but this condition is usually harmless and disappears quickly. It may occur without any injury to your eye. It may be the result of a strong sneeze or cough. You don't need any specific treatment for this.
I had a broken ocular blood vessel in my eye that made the sight in that eye appear fragmented. I went to an eye specialist who said that the only thing they could do was monitor the situation. There was no treatment, that it would heal eventually on its own.