Alexander Madrid (born April 18, 1963) is a former right-handed Major League Baseball pitcher who played from 1987 to 1989 for the Milwaukee Brewers and Philadelphia Phillies.

Prior to playing professional baseball, he attended Yavapai College.

Madrid began his professional career with the Beloit Brewers in 1984, going 6–7 with a 4.19 ERA in 22 games started.

He played for the Stockton Ports in 1985, and in 1986 he went 12–9 with a 6.03 ERA for the El Paso Diablos.

In his first game, while facing the Seattle Mariners, he pitched 12⁄3 innings, allowing four hits and three earned runs.

Although he would not appear in the majors after 1989, Madrid did pitch in the minors until 1990, splitting time between the Clearwater Phillies and Red Barons.