Tiny clots in lungs not requiring hospitalization, what is treatment at home? and what is prognosis?

It depends on the cause. In general anti clot medications which can be taken by mouth at home. If it did not require hospitalization then could not be very serious. Prognosis depends on cause.

All details have to be included even in a formal recommendation. It all has to do with the condition around which the clots have formed that will need to be treated along with blood thinners as pulmonary embolism is a life threatening condition. In the ER papers follow up was recommended and that will be critical as your doc will be able to put together a plan having access to vital information.

What symptoms do you have? How do you know you have tiny clots in the lung? It is not feasible to provide a meaningful opinion without additional history, physical examination and may be some tests. It would be prudent to see a doctor. Wish you good health!