Luque debuted with the Boston Braves in 1914. In 1918, he was traded to the Cincinnati Reds, with whom he played the next 12 seasons. In the notorious 1919 World Series, he appeared in two games as a relief pitcher. Luque also played for the Brooklyn Robins/Dodgers from 1930 to 1931 and with the New York Giants from 1932 to 1935. He was with the Giants in the 1933 World Series, and, pitching in relief, won the fifth and final game over the Washington Senators, thus becoming the oldest pitcher ever to win a World Series game. He ended his career with a record of 194–179 and a 3.24 ERA. Luque was an above average hitting pitcher in his major league career, posting a.227 batting average with 96 runs, 5 home runs and 90 RBI. He also drew 70 bases on balls. Luque became a starting pitcher in 1920. Primarily pitching with a curveball, he led the National League in losses in 1922, then had his best year in 1923, leading the league with 27 wins and an ERA of 1.93. Luque also led the NL in ERA with a 2.63 in 1925. He was known as an adept mentor in the later years of his pitching career, and went on to become the pitching coach of the Giants from 1936 to 1938 and 1942 to 45. As a blue-eyed, fair-skinned, white Cuban, he was one of several white Cubans to make it in Major League Baseball at a time when non-whites were excluded. Between 1911 and 1929 alone, seventeen Cuban-born Caucasian players played in the Major Leagues. Many of them, including Luque, also played Negro League baseball with integrated teams from Cuba. Luque played for Cuban Stars in 1912 and the Long Branch Cubans in 1913 before signing with organized baseball. Luque was known to have a temper. While with the Brooklyn Dodgers, a heckler in the stands hollered "Lucky Luque! Lucky Luque!" repeatedly. Luque went over to the dugout and told manager Wilbert Robinson, "I tell you, Robbie, if this guy don't shut up, I'm gonna shut him up." "Aw, come on, Dolf", said the manager. "He paid his way in—let him boo." Just then the heckler spotted the rotund Robinson and yelled, "Hey, fat belly!" Robinson said, "OK, Dolf—go ahead and clobber the jerk." Luque obliged his manager's request. Luque also served as a coach at the major league level for seven seasons with the New York Giants, working under managers Bill Terry and Mel Ott. As a coach, Luque was a member of the Giants' and National League champion teams. In between, Luque managed in the Mexican League for the Pericos de Puebla, Azules de Veracruz, Tecolotes de Nuevo Laredo and Leones de Yucatán. Besides, he managed the 1951 Habana Cubans of the Florida International League sandwiched between two stints with the Águilas de Mexicali in 1950 and 1952.
Cuba
Luque made his professional debut in Cuba for the Habana baseball club against a Major League opponent, the Philadelphia Phillies, in an exhibition series in the fall of 1911. He left the game after 8 innings with his team ahead 6–5, but his reliever failed to hold the lead and left Luque with a no decision. He then pitched against the New York Giants, going 1–2, getting the only win for Habana in six games. He debuted in the Cuban League in the winter of 1912, but went 0–4, 0–2, and 2–4 his first three seasons. In 1914/15 he moved to Almendares and had his first winning season, going 7–4. The following season he led the league in wins with a 12–5 record. The next winter, 1917, he tied for the league lead in wins and also led in hitting with a.355 average. In 1919/20 Luque became a playing manager for Almendares and led the team to a championship in his first season at the helm, the first of seven championships as a manager. He contributed on the pitching mound with a 10–4 record, leading the league in wins. In 1922/23 he moved to Habana and again led the league in wins with an 11–9 record. The next season, he took over the helm as Habana's manager and went 7–2 as a pitcher. Later in the decade, Luque's Major League team, the Cincinnati Reds, did not allow him to play winter baseball in Cuba. Luque sometimes evaded the ban by playing under assumed names. By the 1930s, Luque had returned to Almendares as manager. He generally pitched only occasionally, though in 1934/35 he contributed as a pitcher to his second championship as a manager; he tied for the league lead in wins with a 6–2 record and led the league with a 1.27 ERA. As manager, he again led Almendares to championships in 1939/40, 1941/42, and 1942/43, led Cienfuegos to a championship in 1945/46, and returned to Almendares for his final championship in 1946/47. He continued to manage for various teams until 1955/56. Luque's career Cuban League pitching record was 106–71. Luque is the all-time Cuban League leader in years pitching with 22, ranking second behind Martín Dihigo in wins with 106, and seventh in winning percentage with.599. Luque is mentioned in Hemingway's The Old Man and the Sea, when Hemingway writes "Who is the greatest manager, really, Luque or Mike Gonzalez?." Luque died July 3, 1957 and is buried at Colon Cemetery, Havana.