Fired for a Racist Remark

A question to Ask the Workplace Doctors about a racist remark:

I was accused of making a racist remark to someone at work. When this person was called in to discuss it, he kept saying that I made a racist remark since he was Hispanic. When he was told my last name, he immediately changed his story and said that I was just disrespecting him. I was told this by HR as they were terminating me. I was never told when this occurred, where this occurred or who made the complaint against. They just terminated me without ever letting me speak to anyone about this. While both my supervisor and my boss assured me that they did not believe I had made a racist remark, I was concerned that there were other people at work who might believe I had done so. What should I do? Thank you very much.

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