I feel I was unlawful terminated from Corning inc .There was racial discrimination and the person admitted to the allegations and nothing done about.

New York is an employment at will state. Most states are. With no union no government no employment contract you were probably at will. You could quit or they could fire you for no reason. The most common thing I hear every day is " I got a new boss and they fired me." That is not illegal unless they were motivated by your race to fire you. How would you prove that? Anecdotally. The boss made racial slurs, fired or demoted everyone of my race, or had a bias against minorities in general are some ways. Judges tell me "you know Mr. Urba that the employer did not have to be nice to your client." That is true. The supreme court agrees. If an employer has a legitimate nondiscriminatory reason to fire someone that is not illegal. Communication skills could be such a reason but they really need no reason. Any plaintiff which might be you has to prove discrimination. We talk to 10 or 15 potential employees before we accept 1 as a client. That's because of how challenging it is to prove employment discrimination. Good luck. You need detailed specific facts and evidence and usually some evidence that you told HR or management about the discrimination before you got fired unless you can prove they already knew.