Ayurveda treats digestive fire (agni) and bodily warmth as closely related — a body that runs cold, in the traditional description, tends to digest poorly and circulate poorly at the same time, and the two are usually addressed together rather than separately.
Two real, well-established medical facts sit underneath this tradition: warming spices such as ginger and capsaicin do produce a measurable, short- term increase in peripheral blood flow, and regular movement is one of the best-supported ways to maintain healthy circulation over the long term. What is not established in conventional medicine is the broader "agni and warmth" framework as a diagnostic category on its own. If you experience persistently cold hands and feet, especially if it is new or accompanied by colour changes, numbness or pain, that can be a sign of a genuine circulatory or thyroid condition and is worth a proper medical check rather than diet and massage alone.