Ray Graham ran for 94 yards and had three scores for Pitt (1-2), who led wire-to-wire and prevailed despite 111 yards in penalties.
Rushel Shell led the Panthers with 144 rushing yards and Sunseri went 19-of-28 for 283 yards in the air.
Pitt built a 21-0 lead before Cody Journell got the Hokies (2-1) on the board with a 32-yard field goal with 7:57 to play in the second quarter.
Virginia Tech's Logan Thomas had a rough day, completing 14-of-31 passes for 265 yards and three interceptions. Thomas hit Marcus Davis with an 85-yard touchdown play but the Tech running game stalled out with a paltry 28 yards on seven carries.