New York law allows people who write a will to name an executor. This executor would take care of the estate after the testator passed, but you as a beneficiary or interested party may not always be happy with the way this happens.
Your first course of action would probably be to speak with the individual about their performance. Many executors are not experienced in the capacity, so they could see criticism as a way of improving and therefore making the probate process more efficient. If someone did not respond to your polite inquiries, or if you believe they were engaging in some sort of malfeasance or malicious action, you could act on those grounds to dismiss that individual from the executor position.
Attempting to remove someone who is responsible for administering a will as it goes through the probate process is, as you might imagine, not a simple matter. This is due in part to the court’s general assumption that the testator already assessed and approved the abilities of the individual named as executor.
Complications may also arise from the specific points in the New York consolidated laws procedural rules that allow for removal of executors. In fact, the New York codes specify 12 specific situations in which you might have grounds for such a removal.
Probate is a complex process. Not everyone has the qualifications or the ability to perform the fiduciary and actual duties required of an executor. However, you would probably need to establish evidence of the specific ways in which you found your executor unsuitable for the rigors of his or her position before having any chance of removal. This is not legal advice. It is only general educational information.