All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah and that Muhammad, sallallaahu ʻalayhi wa sallam, is His slave and Messenger.
In principle, there is no harm in working in that job because assessing employees, verifying the quality of the work, and writing reports to the concerned authority are all lawful. These are among the mechanisms of work organizations and for improvement in order to address any potential shortcomings and defects.
This is not considered spying as some may mistakenly assume. Spying means searching for the faults of others and seeking out their shortcomings. Ibn ʻUthaymeen wrote, “Spying means looking for the faults of others whether that is done directly, i.e. that the person goes himself to spy perhaps he would find a fault in his brother, or by using devices such as a recording device or over the phone. All that helps the person find the faults and shortcomings of his brother comes under the heading of spying, which is prohibited in Islam...” [Sharh Riyaadh As-Saaliheen]
This is not the case with this job; you are not looking for the faults of the employees. Rather, the job entails monitoring the performance of the employees and assessing their work, and sometimes this requires secrecy so as to serve the best interests of the work.
Allaah knows best.