suitably (adverb) describes the verb 'impressed'... suitable is the adjective
So, suitably tells us 'how much/to what extend or degree' was someone impressed.
Synonyms of 'suitably' include:
sufficiently
abundantly
acceptably
appropriately
fairly well
fittingly
modestly
pleasantly enough
satisfactorily
sufficiently
to an acceptable degree
well enough
Suitably impressed means impressed enough / quite impressed / very impressed / completely impressed.
For example: The exam was very difficult and Tom was pleasantly surprised when he learned that he got a very high mark. So, Tom was 'suitably impressed' was his high mark, and when he told me his mark/score, I was also suitably impressed.