You can chant (or listen to) Bhaktamar Stotra at any time, there is no “forbidden time” in Jain Dharma. Still, our acharyas and tradition suggest some best / most helpful times:

Most auspicious times (if possible):

1. Brahma‑muhurat – about 1.5 hours before sunrise

- After bath, in clean clothes - Sit quietly and chant with full concentration

1. Morning after snatra‑puja / derasar darshan

- Many people recite Bhaktamar after doing morning puja.

1. Sandhya time (around sunset)

- Especially after evening pratikraman or samayik.

1. Special days & sadhana periods (optional, not compulsory):

- Paryushan, Ayambil Oli, important tithis like Poonam, Ashtami, etc. - During personal anusthan, when facing problems, illness, fear, etc.

General guidelines (any time of day):

• Be clean (bath if possible, at least hands–mouth–face, and clean clothes).
• Sit in a quiet, clean place, ideally facing an idol/photo of Bhagwan Adinath.
• Start with Navkar Mantra, then chant Bhaktamar slowly and clearly.
• Keep mind steady and devotional; focus on the meaning, not on speed.
• Avoid chanting while eating, lying down, driving, or in the toilet.

Digambar / Shwetambar note:

• Digambar tradition commonly chants 48 gathas; Shwetambar often 44.
• The timing and general rules for chanting are the same in both traditions.

So: best is early morning or sandhya time in a clean, peaceful state – but whenever you truly have shuddha bhav and time to focus is a good time to chant Bhaktamar.

You can read more here