Can corticosteroids compromise the results of a hair transplant?

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.

In general, medications when used properly should not be an issue with transplanted hairs.  This applies corticosteroids.

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.

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