In 1939, Aragón joined the Blytheville Giants of the Class-D Northeast Arkansas League. With Blytheville, who were a minor league affiliate of the New York Giants, Aragón batted .301 with 104 hits, 12 doubles, five triples and five home runs in 98 games played. In the field, he played 96 games as a catcher, committing 22 errors in 742 total chances, translating into a .970 fielding percentage. During the 1939 season, Aragón played with four different teams in three different organizations. First with the New York Giants organization, he played with the Class-D Salisbury Giants and the Class-B Clinton Giants. With Salisbury, who were members of the North Carolina State League, Aragón batted .238 with 15 hits and five doubles in 20 games played. All of those 20 games were at the catcher position. It is unknown how many games Aragón played with the Clinton Giants that season. After he played in the Giants organization, he moved on to the Cleveland Indians and Pittsburgh Pirates organizations'. With the Class-B Winston-Salem Twins, who were affiliated with the Indians, Aragón batted .236 with 22 hits, four doubles, two triples and two home runs in 32 games played. Aragón's fourth team that season were the Class-A1 Knoxville Smokies, who were affiliated with the Pirates organization. In 16 games with the Smokies, he batted .192 with five hits. Each team he played with the season used him as a catcher.
