Palmer Murphy's art is owned by collectors in the United States, Europe and Australia. His media comprise sculpture in bronze and other materials, as well as portraiture in oil, acrylic, watercolor and charcoal. His sports art portrays personalities such as Babe Ruth, Lou Gehrig, Joe DiMaggio, Mickey Mantle, Stan Musial, Bobby Hull, Tom Seaver and Sugar Ray Robinson. He has been commissioned by numerous corporations to sculpt special items in limited collector editions as well as prototypes for miniature soldier companies. He did production art for TVland. He was retained by HBO to sculpt a bronze memorial plaque commemorating six firefighters from Ladder Ten killed in the 9/11 attack. He was also the subject of a documentary on sports channel MSG network and was interviewed on Fox and Friends by Fox TV Channel. as well as HBO.

Palmer's work has been on view at the National Baseball Hall of Fame in Cooperstown and the Babe Ruth Museum in Baltimore.

Palmer studied art at The Tisch School at NYU, The School of Visual Arts and The Sculpture Center in New York City.