If you have an ICAO PPL, then getting a 61.75 FAA licence on the back of it should be no trouble at-all. The Aeroprakt is as good as any other aeroplane for the purpose.
In Europe things are a bit different, but not much. I believe that the A-22LS has an MTOW of 600kg? Therefore it is just another aeroplane in Europe and not a microlight; your ICAO licence is just that, and in most of Europe you either have PPL privileges or can fairly readily obtain them (here in Britain you can just fly, so long as you have a current licence and medical, and stick to G-reg aeroplanes VFR).
That the aeroplane has no European CofA is completely irrelevant, as is that this is an LSA in the USA, the hours count, as does your ICAO PPL.
If you are looking to start a CPL somewhere in Europe, your licence should be valid for that purpose also.
G