Harry Franklin "Slim" Sallee (February 3, 1885 – March 23, 1950) was a professional baseball player.

He was a left-handed pitcher over parts of fourteen seasons (1908–1921) with the St. Louis Cardinals, New York Giants and Cincinnati Reds.

In World Series play, Sallee compiled a 1–3 record in four appearances, with a 3.45 earned run average and six strikeouts.

Christy Mathewson did it twice (1913, 1914) and Bret Saberhagen accomplished this feat in 1994 with the New York Mets.

This biographical article relating to an American baseball pitcher born in the 1880s is a stub.