 Myers was drafted in the first round (ninth overall) of the 1982 amateur draft.Myers began his Major League career with the New York Mets in 1985 under the management of Davey Johnson, and was a member of the Mets 1986 World Series-winning team (although he did not appear on the Mets' postseason roster then, he was given a belated World Series ring nine years later in 1995).Myers became a closer in 1988 as he platooned with Roger McDowell after Jesse Orosco left for the Los Angeles Dodgers.