The 43-year-old actress was staying at Encantado Resort in Santa Fe, New Mexico, known for strictly following celebrity confidentiality policy, while filming her new movie "We're the Millers".
Terry Siegler says he was fired for briefly complimenting Aniston when asked about her by other guests, reported TMZ online.
He said he was only responding to other guests, who had asked him if he had seen the actress at the hotel, and the guests were later overheard discussing the brief conversation about Aniston by one of her entourage.
"They brought Jennifer up first. Was I supposed to deny it?" Siegler said.
He says he was fired for violating the hotel's celebrity privacy policy after Aniston's team complained to his supervisors that he was sharing private information about the actress to other guests.
The hotel's general manager said, "I cannot confirm anything about our employee, but I will say that we have a very strict confidentiality policy and we do enforce those policies."
The incident does not seem to have dampened Aniston's New Mexico experience as she is said to be considering getting married to Justin Theroux there.
"She has fallen in love with New Mexico, it has a very relaxed vibe that fits both her and Justin perfectly, so it would be a great place for them to have the wedding," a source said.
