All perfect praise be to Allah the Lord of The Worlds. May His blessings and peace be upon our Prophet Mohammad and upon all his family and companions.
An-Nu'man b. Bashir reported God's Messenger as saying: “What is lawful is clear and what is unlawful is clear, but between them are certain doubtful things which many people do not recognize. He who guards against doubtful things keeps his religion and his honour blameless, but he who falls into doubtful things falls into what is unlawful, just as a shepherd who pastures his animals round a preserve will soon pasture them in it. Every king has a preserve, and God’s preserve is the things He has declared unlawful. In the body there is a piece of flesh, and the whole body is sound if it is sound, but the whole body is corrupt if it is corrupt. It is the heart.” (Bukhari and Muslim).
As understood from the above question, it isn`t unlawful to work in the hotel`s kitchen unless the person is asked to cook what is unlawful such as pork. However, this can`t be figured out unless explained by the questioner himself. We thank him for being keen on what is lawful and knowing the rulings of Sharia. And Allah the Almighty Knows Best.