After going undrafted, Cofer was signed by the Cleveland Browns in the off-season, but was ultimately released and picked up by the New Orleans Saints, where he would put up a single made field goal attempt, as well as 5 made extra points out of 7 attempted in 2 games.
San Francisco 49ers
1988
In 1988, Cofer's first season with the team, he ended with 27 of 38 field goal attempts made, as well as 40 of 41 extra point attempts made. Despite his inconsistency, the 49ers would move on to Super Bowl XXIII, where they would defeat the Cincinnati Bengals 20-16. For his performance in the season, Cofer would earn NFL All-Rookie honors. [1]
1989
Cofer's kicking slightly improved in 1989; he successfully made 29 of 36 field goal attempts, and also successfully made 49 of his 51 extra-point attempts. This season would prove to be one of the 49ers' most dominant in franchise history, as after making it to Super Bowl XXIV, during which Cofer made 7 out of 8 extra point attempts, they would beat the Denver Broncos 55-10, accounting for the most points ever scored by a winning team in a Super Bowl. For his performance this season (which included being the NFL's leader in scoring), Cofer would earn a First-team All-Pro nomination.
1990
Cofer's kicking would become inconsistent in 1990, as he only made 24 of his 36 field goal attempts, although he did successfully make all 39 of his extra point attempts. Despite his lows in kicking, the 49ers would successfully make it to the NFC Championship Game, where Cofer would successfully make 2 field goals, as well as his sole extra point attempt, in the 13-15 loss against the New York Giants.
1991-1993
Cofer's stats became more inconsistent in 1991; he would only make 14 of his 28 field goal attempts, good for a staggering 50%, but once again made almost all of his extra point attempts, successfully making 49 of 50 extra-point attempts. In this year, despite having a 10-6 record, Cofer and the 49ers would miss the playoffs.
In 1992, Cofer's field goal kicking would slightly improve, though he still only made 18 of his 27 field goal attempts. The 49ers would move on the NFC Championship game, where Cofer would successfully make both of his field goal attempts and both of his extra point attempts in the 20-30 defeat to the Dallas Cowboys.
In 1993, Cofer's final season with the 49ers, Cofer's field goal percentage would drop again as he made only 16 of his 26 field goal attempts, but once again was consistent with extra-points, successfully making 59 of his 61 extra point attempts. The 49ers would once again face the Cowboys in the NFC Championship game, but once again lost, 21-38, as Cofer made all three of his extra-point attempts. Following this, Cofer left the 49ers, and he would not return to play for a team for the 1994 season.
Indianapolis Colts
Cofer returned to the NFL in 1995, signing with the Indianapolis Colts. With them, he only played 4 games, making just 4 of 9 field goal attempts, and making all 9 of his extra point attempts. Following his last game with the Colts, he decided to retire and pursue other endeavors, including racing.