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.

Following his work in New York, Tchicai returned to Denmark in 1966, and shortly thereafter focused most of his time on music education. He formed the small orchestra Cadentia Nova Danica with Danish and other European musicians; this group collaborated with Musica Elettronica Viva and performed in multi-media events. Tchicai was a founding member of Amsterdam‘s Instant Composers Pool in 1968, and in 1969 took part in the recording of John Lennon and Yoko Ono‘s Unfinished Music No.2: Life with the Lions.