Do I qualify for a iron infusion therapy with a hemoglobin of 9 and iron of 21 L and iron sat of 5L?

First things first. You must ask first why you are iron deficient. Heavy periods? Pregnancies? Could you be pregnant now? Non-supplementing vegetarian? Bleeding stomach ulcer / cancer? Iron infusions are not for casual use, though they are easier on the gut than iron tablets. There are injectable forms too. Do yourself a favor and focus on the big picture. .