Brunet made his major league debut on September 14, 1956, against the Washington Senators, tossing a scoreless inning in a 4–1 loss.

[2] His second Major League appearance came against the Boston Red Sox with the bases loaded, and Ted Williams standing in the batter's box.

He entered in the seventh inning with the bases loaded, and five runs already scored due to poor pitching and even worse fielding (five walks and three errors).

[7] Brunet finally made it onto Kansas City's opening day roster in 1960, but was traded to the Milwaukee Braves a month into the season for Bob Giggie.

[4] The Braves originally assigned Brunet to the Louisville Colonels upon acquiring him, but he was quickly called up after going 4–1 with a 0.78 ERA in seven games (five starts).

[9] Brunet made four appearances when he returned that June, but was reassigned to the Triple-A Vancouver Mounties by the end of the month, and remained there for the rest of the season.

[4] The 1963 Baltimore Orioles were in the American League pennant race, but following Dean Stone's retirement, they had only one left hander in their bullpen, Pete Burnside.

[14] Brunet began the 1964 season assigned to the Orioles' Triple-A affiliate, the Rochester Red Wings, then was reacquired by the Colts on May 12.

After a complete game victory in the season opener,[17] Brunet lost his next nine decisions, a span during which the Angels only scored eighteen runs.

[4] He went 8–6 with a 4.42 ERA in 24 games (20 starts) for the Senators before a trade deadline deal brought him to the Pittsburgh Pirates for Denny Riddleberger.

[4] After finishing out the season in Pittsburgh, Brunet and Matty Alou were traded to the St. Louis Cardinals for Nelson Briles and Vic Davalillo.

[5] While with Hawaii, he received an offer to pitch in Japan, but declined, waiting on a call from the Minnesota Twins which never materialized.

He spent one last season with the Philadelphia Phillies' Pacific Coast League affiliate, the Eugene Emeralds before retiring.

[23] Nicknamed "Lefty" and "Red" during his Major League career, he was known as "El Viejo" or "the Old Man" in Mexico as he pitched well into his fifties.