Minter was selected 56th overall by the Carolina Panthers in the second round of the 1997 NFL Draft. He became the starter in the team's sixth game of his rookie season, and remained there until his retirement. In his rookie year he posted 11 starts and finished second among defensive backs with 83 tackles, and also recorded 3.5 sacks, two fumble recoveries, two forced fumbles, 10 passes defensed and four quarterback hurries. In 1998, Minter missed ten games because of a staph infection that developed as a complication of surgery on his left knee. Following that season, Minter started every game of each year, except in 2001, when he missed the first two games because of an injury. In Carolina's appearance in the Super Bowl against the New England Patriots in 2003, Minter ranked second on defense and equaled a career-high of 18 tackles. Despite breaking his left foot in the third quarter, he stayed in the rest of the game.