Allan Botschinsky (born 29 March 1940, Copenhagen) is a Danish jazz trumpet player, conductor and composer.

Botschinsky's father played bassoon professionally. He began on trumpet at age 11 and at 14 began studying at the Royal Danish Conservatorium. In 1956 he joined Ib Glindemann's big band, where he remained through 1959; he also played with visiting American musicians around this time, such as Oscar Pettiford, Stan Getz, Dexter Gordon, Lee Konitz, Ben Webster, and Kenny Dorham. In 1963-64 he studied at the Manhattan School of Music. From 1964 he played with the Danish Radio Jazz Group and also played with the Danish Radio Big Band from the late 1960s.