Corticosteroids and hair transplant loss
Generally this should not affect your hair restoration procedure being that it is a topical solution and not being applied near the transplanted area and that the medication is likely being used for a short period of time.
Can ear and nasal corticosteroids compromise the results of a hair transplant?
More than likely the answer is no to these corticosteroids. These corticosteroids are in very small amounts and are distributed locally to the area of application. High doses of corticosteroids taken orally could potentially have an impact on a new transplant.
In general, medications when used properly should not be an issue with transplanted hairs.
In general, medications when used properly should not be an issue with transplanted hairs. This applies corticosteroids.
If these are locally applied outside of your hair and not into your body systemically, these medications used as you described should not impact hair growth