These universities all have HR departments. First thing would be to send a resume and follow up with a phone call. Consider the location of the University, vis-a-vis where you will live. Note that universities, La Catolica and El Pacifico come to mind, have a separate entity that handles their English language programs, which they offer to people at large - not just their own students -, so they would have a separate HR department.
Those two would be a good place to start.
Also, broaden your scope and maybe apply to high schools, concentrating on those offering the IB program. There is a complete list here https://www.expatperu.com/international ... lima-peru/