Blažej [blaʒɛj] “Bla” like in English “blah” (but short in duration). “Ž” like “j” in French “journal”. “Ej” like “ay” in English “May”. Alojz [alojz] Common spelling is “Alois”. Or, you can simply put together the sounds as recorded here. There’s no snag in these words.
In this case the pronunciation is [alojs] as there is a loss of sonority at the end of the word. In other grammatical cases, there is or [z] according to the orthography.