Please tell me can digestive disorders cause swollen parotid glands?

No . They could be the comorbid conditions., but the salivary glands may become inflamed and swollen because of infection, tumors, or stones. If concern see your PCP for more information.
Parotid glands. There are several conditions that can cause swollen parotid glands.. We cannot make a diagnosis without evaluating your condition. See an oral surgeon for the parotid gland. If you are concerned about digestive problems see your primary care or a GI doctor.