Given that you haven't received a formal contract stating a notice period, it might be possible to leave without giving notice. However, it's always best to check local labor laws and possibly consult with a legal professional to ensure you're covered. Document everything and communicate your intentions clearly to HR.
Nothing contained in this Agreement will confer upon the Optionee any right to be employed or remain employed by the Company or any Subsidiary, or limit or affect in any manner the right of the Company or any Subsidiary to terminate the employment or adjust the compensation of the Optionee.
Contract Formation Offer and Acceptance – one party must make a clear and definite offer, and the other party must accept that offer, clearly and definitely. Exchange Something of Value – also known as “Consideration.” Each party must promise or provide something of value to the other party;
Written contracts ensure clarity and provide a tangible reference in case of disputes. A contract can protect both the employer and the employee. Even when not required by law, it is a best practice in HR management.
Employment contracts are only enforceable in New York if they are in writing and signed by both parties. The only exception to this rule is if the duration of employment is less than one year long.
Written employment contracts are not required. However, many employers use them when hiring for a high-level or professional position. Most written employment contracts will describe the scope and duties of the job in addition to the salary and any other compensation or benefits.
New York is an “employment at will” state. This means without an employment contract employees can be terminated for any legal reason or no reason at all without notice. An employment contract will lay out specific reasons for termination that an employer must abide by which protects an employee's job.
Under the laws of the United States, there are no minimum requirements for an employment contract. Also, in most states, no written memorialisation of any terms is required. An employment relationship in the United States is presumed to be “at-will,” i.e., terminable by either party, with or without cause or notice.