Rusty played with the Texas Rangers Baseball Club from May 16, 1994 until his retirement on February 20, 2005. Known for his all-out style of play, Greer retired due to injury after just over 10 years in the Major Leagues – all with the Texas Rangers. Fans, teammates, and peers viewed Rusty with great respect because he left it all on the field every time he went between the white lines. Greer played the outfield and was known for laying his body on the line whether it be diving for a ball or running into a wall and his career was cut short due to injury as a result of his style of play. What is little known is that he played first base for two years while in the minor leagues and was instructed by some of the best professional coaches in the game. Rusty carries a .305 lifetime batting average at the major league level and most people think of him as a hitter but his real passion is teaching the defensive side of the ball and having a positive impact on young people's lives. Since his retirement Greer has been involved in amateur baseball as a coach/instructor at the youth level, high school level and collegiate level. He has coached for the Colleyville Lonestars (Texas Collegiate League), Texas Wesleyan University, DBAT, and for the last four years with the Dallas Mustangs.