Saikyo and Kurono have a very friendly relationship, as Saikyo is seen calling Kurono by a nickname Kuu-chan. Kurono also shows great trust in Saikyo as she appointed her as a teacher of Hagun Academy, when she took over.
Kurono has a good relationship with Ikki, as she treats him fairly and never did any prejudiced against him. Although her relationship with Ikki is a student teacher one, she seems to care a great deal for him, as Saikyo stated that she talks about him all the time, and even stating that Ikki was Kurono's favorite student.
Bakuga was the Director of Hagun Academy before Kurono. Kurono respects him, although she doesn't approve of his formation of Akatsuki.