بسم الله الرحمن الرحيم

A woman who is on her haidh or a person who is in the state of janaabah can touch the corners/edges of those things like a locket or frame, etc. in which the verses of the Quran are written. However, it is not permissible to touch actual writing.  It is still better, though, that a cloth etc. is used to even hold it by the corners/edges.

أفضل التطبيق العصري على مسائل القدوري

للمفتي محمد أشرف الاشاعتي

Vol.1 Pg.202