Short answer: Yes, you can listen to Bhaktamar’s 6th shloka during periods.

In Jain practice, menstruation (periods) is considered a phase with special ritual considerations in many communities, especially regarding temple entry and certain activities. However, there is no universal or canonical ban in the traditional texts on simply listening to a revered scripture or stotra like the Bhaktamar. If you are in a temple or a specific Jain community that has stricter local rules, follow their guidelines. If not, listening quietly at home or in a respectful setting is generally acceptable.

If you’d like, I can share the exact text of the 6th shloka and its meaning from authentic Jain sources, and explain how it is interpreted in Digambar and Shwetambar traditions.