Not much is known about Matthew Shrieve. The general first appears after Olive Queen and Maseo Yamashiro, under the command of A.R.G.U.S. head Amanda Waller, stop Chien Na Wei from selling a deadly toxic weapon called the Omega in Starling City. He has Oliver return to China to be debriefed. Afterwards he lets Oliver go, promising him that he can go wherever he wished to go. However, he had to go to Japan with the Yamashiro family first.
While they were leaving, Oliver and the Yamashiros were attacked by Shrieve's men and they were seperated while running from them. Thinking that they were Waller's men, Oliver infiltrates the A.R.G.U.S. facility only to find Amanda Waller held prisoner there by the general. It is then revealed by Waller that General really planned to wipe out China with the Omega weapon as he saw the country as a threat. After Maseo's son Akio was subjected to the virus, Maseo and Oliver tracked down Matthew where they forced him to procure the cure for Akio.
Unfortunately there was never a cure, as Matthew revealed that Maseo had in fact took insulin for Matthew's diabetes. Upon his trickery, he subdued Oliver with snipers. Due to Akio's death caused by the virus, Oliver tortured Matthew for hours and left him unconsious until Maseo shot him in the head, killing him instantly.
- He is considered to be one of the darkest villains of Arrowverse, besides Vandal Savage, Count Vertigo, Danny Brickwell, Khem-Adam, Werner Zytle, the Dollmaker, Jacob Shaw, "The Man", Eobard Thawne and Zoom.