Hotel Manager, the occupation of Conrad Hilton and John Wayles Jefferson
The management of a hotel.
Because the letter "h" is not a vowel sound. But there are exemptions to the rule. If it is pronounced in vowel sound like for an example, "hour", an is should be used.
Do you mean how do you get into hotel management? If so you can study it at a university like Portsmouth (see link) or on the job (see other link).
Course for management in hotel systems and technology.