John Martin Tchicai (April 28, 1936 – October 8, 2012) was a Danish free jazz saxophonist and composer.

After moving to New York City in 1963, Tchicai joined Archie Shepp‘s New York Contemporary Five and the New York Art Quartet. He played on John Coltrane‘s Ascension, and Albert Ayler’s New York Eye and Ear Control, both influential free jazz recordings.

Tchicai was born in Copenhagen, Denmark, to a Danish mother and a Congolese father. The family moved to Aarhus, where he studied violin in his youth, and in his mid-teens began playing clarinet and alto saxophone, focusing on the latter. By the late 1950s he was travelling around northern Europe, playing with many musicians.