[1] Kloza is recognized as one of four Major League Baseball leaguers born in Poland, along with Moe Drabowsky, Henry Peploski and Johnny Reder.

He debuted in 1925 as an outfielder with the Blytheville Tigers of the Tri-State League, but spent nearly seven full seasons in the minors with eleven teams before reaching the majors in 1931 with the St. Louis Browns.

After that, he slugged .347 with 28 home runs in 1930 for the Wichita Falls Spudders of the Texas League, and .319 with 22 homers for the Milwaukee Brewers of the American Association in 1931, being promoted to the Browns late in the season.

[3][4] Kloza was hailed as a potential Babe Ruth at that time, but his major league experience was cut short by illness, from which he never fully recovered his best playing strength, appearing in parts of two seasons.

He is part of the AAGPBL permanent display at the Baseball Hall of Fame and Museum at Cooperstown, New York, opened in 1988, which is dedicated to the entire league rather than any individual player.