N.Y. Educ. Law § 2568
The superintendent of schools of a city having a population of one million or more shall be empowered to require any person employed by the board of education of such city to submit to a medical examination by a physician or school medical inspector of the board, in order to determine the mental or physical capacity of such person to perform his duties, whenever it has been recommended in a report in writing that such examination should be made. Such report to the superintendent may be made only by a person under whose supervision or direction the person recommended for such medical examination is employed. The person required to submit to such medical examination shall be entitled to be accompanied by a physician or other person of his own choice. The findings upon such examination shall be reported to the superintendent of schools and may be referred to and considered for the evaluation of service of the person examined or for disability retirement.
N.Y. Educ. Law § 2568