There are at least four artists with the same name:
1 - Cockroach is a pseudonym for Dan Penta, a New York City based songwriter frequently associated with the Antifolk scene. This Cockroach has performed and recorded as a solo artist, as well as with his bands Hearth and Whisper Doll, and sometimes appears as a guest on others' records, like Kimya Dawson's "Hidden Vagenda."
Cockroach is also the name of:
2 - a black/death metal band from Germany.
3 - a nu-metal/hard rock band from Poland.

4 - a punk band from the Netherlands.
They play fast and furious punk/powerviolence in the vein of bands such as Romantic Gorilla. Their tracks seldom reaching over a playtime of 2 or even 1 minute.