Meyer is possibly the most well-known contemporary solo clarinetist from France. He is known for his solo recordings on the Denon label, notably in collaborations with Jean-Pierre Rampal and Eric Le Sage. He studied at the Paris Conservatoire and at the Basler Musikhochschule. In 1982, he won the French Young Musician's Competition and in 1984, the USA Young Concert Artists Competition.
A notated champion of new music for the clarinet, Meyer has given the world premieres of works by Gerd Kühr, Krzysztof Penderecki, and Luciano Berio. He has also recorded some of the more obscure offerings of the traditional clarinet repertoire, including a 1990 collaboration with Gérard Caussé on works for viola and clarinet by Bruch for Erato, and a 1994 collaboration with Jean-Pierre Rampal on the two clarinet concertos of Ignaz Pleyel as well as the Sinfonia Concertante of Danzi for Denon.
Conductors that Meyer has performed or recorded with include Emmanuel Krivine, Günther Herbig, Esa-Pekka Salonen, Yehudi Menuhin, Jerzy Maksymiuk, Kent Nagano, Ulf Schirmer, Heinrich Schiff, David Zinman, Michael Gielen and Luciano Berio. His chamber music partners have included Eric Le Sage (his regular duo partner), Jean-Pierre Rampal, Gérard Caussé, François-René Duchable, Maria João Pires, Pamela Frank, Yuri Bashmet, Gidon Kremer, Yo-Yo Ma, Mstislav Rostropovitch, Vladimir Spivakov, Tabea Zimmermann, Heinrich Schiff, Barbara Hendricks, Natalie Dessay, Emmanuel Pahud, Myung-Whun Chung and Gil Shaham.