Asian or European? The Asian roaches certainly are huge and disturbing to look at but they tend not to "infest" as pervasively as the smaller European ones.
I didn't mind so much seeing one of those big suckers bumbling along through my place because I knew it was probably just passing through to somewhere else (I learned early on how to NOT give them anything to eat). They're also easy to kill.
If one of those smaller ones showed up though it was Blitzkreig time because you just KNOW there is a little swarm of them lurking somewhere in the shadows and if not dealt with eventually the bathroom and kitchen gets overun by the little beasties. Then it's BRUTAL to get rid of them... especially with roomates or filthy idiot neighbors.
Haven't had those little buggers since my mid twenties though because I got REALLY good at wiping them out and keeping them out. Before that, being new to city life (I had never even SEEN a cockroach until I moved to the city) and being a typical krust punk slobbo yahoo a few apartments got totally overun by the bastards (and my roomates made any efforts pointless). Like the floors and counters literally moving with them and covered in their little micro poops.
YUCK!! Can't believe I ever lived like that. Nasty.