Ayatul Kursi is a great verse of the Quran, which is not correct to read or wear around the neck during menstruation.
According to a hadith, by reciting Ayatul Kursi, angels come to protect a Muslim, but angels do not go to any impure place or person.
Wearing the pendant of Ayatul Kursi is not proven by the hadith, but the hadith did not prohibit wearing Ayatul Kursi around the neck.
Therefore, Ayatul Kursi can be worn on the neck to obtain blessings. However, the literature requires that you take off the pendant of Ayatul Kursi from your neck during the days of menstruation.
Also, when you go to the washroom, remove the Ayatul Kursi Necklace from your neck.