Feidman started his career in Buenos Aires, where he was a member of the Teatro Colón Symphony Orchestra. Two years later he immigrated to Israel. He became the youngest clarinetist ever to play with the Israel Philharmonic Orchestra. He was a member of the orchestra for over 20 years. In the early 1970s he started a solo career. He has performed with the Berliner Symphoniker, the Kronos Quartet, the Polish Chamber Philarmonic, the Munich Chamber Philarmonic Orchestra, and the Munich Radio Orchestra.