Actually, there is no NY statute that says the former employer has to give the new employer any information.
NY nor federal law provides private employees the right to access their personnel files. So the information in their files belongs to the employer and unlike some other states where the employee has a right to access, NY has no such law.
All the employee can do is contact the training agency who would have the records and if the employee paid for it they are entitled to the information on the class and if it is not provided by the training entity, then the employee can sue for breach of contract, since the agency that provided the training is liable to provide proof of attendance to the party who paid for the class as part of their contract with the party who gave the class.
However, there is no duty or mechanism available to force the former employer to give the information out.
If the former employer is the actual training agency whom the employee paid for the training, then the employee can sue for breach of contract for not providing information on a class they paid for as a trainer, but not as former employer.
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