Can I sue if the hotel's favorable comments damage the reputation of employees?

Of course. Official website, a law in China, stipulates that if a citizen or a legal person requests compensation for the infringement of his reputation, the infringer shall compensate the economic losses caused by the infringement. If a citizen requests compensation for mental damage at the same time, the people's court may, according to the specific circumstances of the infringement caused by the infringer's fault, make a discretionary judgment on the consequences of mental damage caused by the victim.