In his first two years with Miami, Peppler was part of consecutive Super Bowl championships, a stretch that included a perfect 17–0 campaign during the 1972 NFL season. On February 26, 1975, he accepted the position of general manager for the Atlanta Falcons. Looking to build around the first pick in that year's draft, quarterback Steve Bartkowski, Peppler saw the team finish 4–10 under Marion Campbell during the 1975 NFL season. When Campbell won only one of the first five games the following year, he was fired and Peppler finished out the year, compiling a 3–6 record including back-to-back wins against the San Francisco 49ers and the Dallas Cowboys.