Q. One should not be talking or even thinking about business on Shabbos and Yom Tov. For someone in, or going into Rabbonus, shouldn't they also avoid talking about who is running which cheder or the like, if their Kavanah is to potentially apply for a Parnasah there.
A. Shulchan Oruch (O.H. 306,6) rules that you are allowed to deal and talk about performing prohibited melochos and work during Shabbos when it concerns doing mitzvos. Obtaining a teaching position on a Cheider or Talmud Torah is a mitzvah and therefore permitted. (When not a mitzvah, only conversations are prohibited not thoughts)
Horav Shlomo Miller Shlit'a advises that no sums of monies for salaries or remuneration should be mentioned.
Rabbi A. Bartfeld as advised by Horav Shlomo Miller Shlit"a