Archdeacon had two nicknames..."Flash" and "Comet". While a player for Rochester of the International League in 1921, he set a speed record by circling the bases in 13.4 seconds during a pre-game exhibition. (The record has since been broken.) He was purchased for $50,000 by the White Sox from Rochester on September 13, 1923 after having stolen 225 bases in his last five minor league seasons.
He made his major league debut four days later against the Boston Red Sox at Fenway Park. Archdeacon went on to hit .402 in 22 games for Chicago that year by getting 35 hits in 87 at bats. He drove in 4 runs and scored 23.
Archdeacon played in 95 games for the last-place White Sox in 1924, batting .319 with 25 RBI, 59 runs scored, and 11 stolen bases. In 1925 he played in only 10 big league games, the last being on May 29. He was 1-for-9 with two runs scored.
Career totals include 127 games played, 128 hits, 0 home runs, 29 RBI, 84 runs, and a lifetime batting average of .333. He drew 48 walks and was hit by pitches 4 times, giving him an on base percentage of .413. He stole 13 bases and was caught 10 times.