In Jain tradition, views can differ by sect, family custom, and personal observance.

Generally:

• Many Jain households avoid kitchen work during menstruation as a matter of seva, shuddhi, and ritual discipline.
• Some consider it a personal or social rule, not a strict universal spiritual law.
• The main Jain principle is ahimsa and cleanliness of conduct, so one should follow the practice of their Gurudev, family, or sampradaya respectfully.

So, if your family or tradition advises not to work in the kitchen during menstruation, it is better to follow that. If there is no such rule in your practice, then it is not considered a universal Jain prohibition.

In short: it depends on tradition; there is no single uniform Jain rule for all.