Are tergo-sternal muscles of cockroach involved in blood circulation?
It is not the tergo sternal muscles that are involved in blood circulation in cockroaches. Tergo sternal muscles help in breathing. It is the Alary muscles that help in blood circulation. The alary muscles are associated with all the thireen chambers of cockroach's heart on either side of it. The alternate contraction and relaxation of these muscles help to pump the blood.


Sources which support my answer:


Tergo sternal muscles are involved in respiration, Look into the book "A Dictionary of Entomology" pg 4, link
Alary muscles help in blood circulation, link