Narayaneeyam is a strotram composed by Narayana Bhattadri, anyone can recite Narayaneeyam as it is a stotram.
There is a Narayaneeyam in the Mahabharata and Sanksepa Ramayanam is presented in the Ithihasa, hence women do not recite these as per the tradition. But in these modern-day recitations are in vogue.