Unfortunately, you probably can't do anything about it. Virginia, like most of the United States, is an at-will state, which means you can be fired for cause or no cause. There are exceptions; the employer cannot fire you on grounds of PROHIBITED discrimination such as sex, race, age, national origin, creed and/or disability nor can the employer terminate you for having engaged in protected activity under a variety of usually Federal statutes, such as the National Labor Relations Act. Also, if you have a valid personal contract, the employer must abide by its terms on grounds for discharge. However, none of these situations appear to apply to you.
This is meant as general legal information and is not to be construed as legal advice in an attorney client relationship.
Any "appeal" right you have in an employment setting will be based on your company handbook. The handbook is generally your contract with the employer. Virginia is indeed an at will state - you may be fired with or without cause. However, if there is an appeal process set forth in your company handbook, that will generally dictate your rights to appeal a decision of your employer.
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