You can fly with your black eyes. But you are strongly suggested not to fly with the black eyes. When you take off, you will suffer high blood pressure in the body which will affect your eye pressure. It will be bad for your healing of the black eyes. What's worse, it may worsen your situation of black eyes.
Well, so sorry to hear that you have got a pair of black eyes due to some particular reason, must be painful right? So, since your eyes are bruised in the first place, you must have some bad feelings and your vision might be slightly affected . Therefore ,the best way is to get some timely and effective measures to cure the black eyes, however, if you must go, you can fily, but just be careful , maybe by wearing sunglasses, you will not feel embarrassed.
Well, in my opinion, it is fine to fly after you have got black eye. Generally speaking, people get black eye when there is injury to the eyes, even to the face and head, nose. It is just like you. And then the blood and other fluids collect in the space around the eye, and it will result in swelling and dark discoloration. But it is ok to take a flight. On the other hand, there are some ways you can have a try to treat your black eyes. For example, you can put some cold teabags under your eyes. In that way, the cold teabag can do a good job to your symptom. By the way, you can try using a cream containing vitamin D which can promote healing around the eye skin. Anyway, just be careful about it.