In his 10-season MLB career, Naragon was a .266 hitter, with 262 hits, 27 doubles, 11 triples, six home runs and 87 RBI in 424 games played. He recorded a .991 fielding percentage. His most productive season came in 1959, when he posted career-highs in games (85) and hits (57) while dividing his playing time with Cleveland and Washington. He also caught one inning for the Indians in Game 3 of the 1954 World Series against the New York Giants. He spent much of his career backing up starting catchers Jim Hegan and Earl Battey.