During spring training the following year, manager Jim Frey suggested that Quisenberry learn the submarine style delivery from Pittsburgh Pirates reliever Kent Tekulve to confuse hitters, because he could not overpower them. From 1980 to 1985, Quisenberry was the American League's dominant closer, winning the Rolaids Relief Man Award in all but the strike-shortened 1981 season, and finishing in the top five in voting for the Cy Young Award — again in all but 1981.
Quisenberry was hardly the prototypical closing pitcher. Unlike many of his peers, he didn't possess a hard fastball, and thus had to rely on pinpoint control, guile, and deception, which his submarine delivery he first started using in 1980 augmented. His primary pitch was a sinking fastball, which causes hitters to hit the ball on the ground rather than in the air. He also possessed a curveball in his repertoire, as well as a changeup he developed in 1984 and an occasional knuckleball. Although Quisenberry was not a strikeout pitcher, he offset this deficiency by seldom walking batters or throwing wild pitches. His 45 saves in 1983 was briefly a single season record (tied in 1984 by Bruce Sutter and broken in 1986 by Dave Righetti). Quisenberry was the first pitcher in major league history to save more than 40 games in a season twice in his career.
In 1983, the Royals signed Quisenberry to a lifetime contract, similar to the contract of his teammate, George Brett. However, a rocky start in 1988 led to Quisenberry's relegation to middle relief and mop-up duty. Shortly before the 1988 All-Star break, Quisenberry was released by the Royals. Ten days later the St. Louis Cardinals, managed by ex-Royals manager Whitey Herzog, signed Quisenberry as a free agent. After pitching for a year and a half in St. Louis, Quisenberry signed to play the 1990 season with the San Francisco Giants. Quisenberry tore his rotator cuff just five appearances into the 1990 season, and was faced with serious injury for the first time in his career. At the age of 37, after 12 seasons in the majors, Quisenberry retired.
In the 1996 Hall of Fame Balloting by the Baseball Writers Association of America, Quisenberry received 18 votes, just under the 24 vote (5%) cut-off to remain on the ballot. In the same election, Bruce Sutter – a pitcher with remarkably similar overall statistics – received 137 votes; he went on to be elected to the Hall of Fame in 2006.
Along with Sutter and Goose Gossage, he was on the forefront of the transition from relief ace to the La Russian ninth inning closer. Quisenberry's Adjusted ERA+ of 146 ties him for third all-time among qualifying pitchers. His career rate of walks per 9 innings pitched is the lowest since 1926. In addition, Quisenberry accrued the 22nd most all-time in Cy Young shares.
In December 1997, Quisenberry was diagnosed with brain cancer; he died in 1998 in Leawood, Kansas.