Barragan, born in Sacramento, California, threw and batted right-handed, stood 5 feet 11 inches (1.80 m) tall and weighed 180 pounds (82 kg).

[1] Cuno Barragan's only MLB home run came on his very first big-league at bat, on September 1, 1961,[2] off left-hander Dick LeMay;[3] 5,427 people witnessed this event, which came early in a 14-inning loss by the Cubs to the Giants at Wrigley Field on a Friday afternoon.

All told, he collected 33 career hits in the majors, with six doubles and a triple, with 14 runs batted in in 69 games played.

His Hispanic given name and its unique nickname, combined with his cup-of-coffee career, led the authors of The Great American Baseball Card Flipping, Trading and Bubble Gum Book to make the following sarcastic comment next to the illustration of his Topps baseball card: "Who the hell is Cuno Barragan?

"[4] In 1973, Barragan was inducted into the Mexican American Hall of Fame, an organization which honors individuals from the Sacramento area.