Born in Madrid, he studied at the Royal Conservatoire of Music of his native city. Since graduating, he has dedicated himself to the accompaniment of opera singers and chamber music.
In 1980 he made his debut with Teresa Berganza in the Teatro Principal de Valencia. From that moment, and for the next 30 odd years, he became her accompanist of preference performing in the most important theatres and auditoriums in the world: Carnegie Hall, Royal Opera House, Albert Hall and Wigmore Hall (London), La Scala (Milan), Musikverein and Konzerthaus (Vienna), Concertgebouw (Amsterdam), La Fenice (Venice), Champs Elysées, Salle Pleyel, Chatelet, La Bastille and La Opera (Paris), Herkulessaal (Munich), Teatro Real (Madrid), Liceo (Barcelona), Teatro Avenida y Colon (Buenos Aires), etc. as well as tours of Japan, Korea, Taiwan, Hong Kong, Perú, Venezuela and Brazil.
He worked for many years with the celebrated dancer and castanets virtuoso Lucero Tena, performing all around the world including an African tour organised by the Spanish Foreign Office.
He regularly plays for the Spanish baritone Iñaki Fresán with great critical acclaim in cities like Buenos Aires and Jerusalem as well as festivals in San Sebastián, Santander, and Torroella de Montgrí amongst others. They performed Shubert's “Schwanengesang” series at the Auditorio de Música de Madrid, achieving one of their greatest successes.
He has also worked with María Bayo, Elisabete Matos, María José Montiel and many other nacional and international singers as well as collaborations with talented young artists.
He has made a number of records with Teresa Berganza, María Bayo, María José Montiel and the tenor José Manuel Montero as well as numerous recordings for radio and television (RNE and TVE)
In the area of chamber music he has formed duos with Víctor Martín, Wladimiro Martín, Juan Llinares, José Antonio Campos, Manuel Guillén, Víctor Ambroa and many others.
As a professor, Juan Antonio Alvarez Parejo yaught masterclasses during 2006/2007 on Musical Interpretation at the Carlos III University of Madrid. He also taught as part of the Saint Louis Univeristy, Madrid Campus, in Granada and a year later in the Royal Conservatoire of Music in Madrid. In 2008 he implemented a course on Vocal Accompaniment in the Conervatoire of Music in Santa Cruz de Tenerife.
In 2010 he became the music director of Bellini's opera I Capuleti e I Monttechi at the Centro Cultural de Moncloa (Madrid)
In 2014 he was invited to teach masterclasses on Spanish and Latin-american music for classic singers and pianists at the Alcala de Henares University, place where in previous years, he participated as an accompanist for Teresa Berganza and Giancarlo del Monaco’s masterclasses.
In 2010/2011 he tours around Spain with the show 'Garcia Lorca Canta' together with Nati Mistral.
In 2012 he collaborated with the Armenian cellist Armen Antonian and a year later he became a member of the musical group Alevare exploring the instrumental and vocal works of Piazzolla.
In September 2013 he collaborates with the acclaimed tenor Jose Cura on a concert made up of Argentinian composers, including one of José Cura's own compositions 'Sonetos de Amor y Muerte' with the poems that Pablo Neruda dedicated to his wife, Matilde Urrutia and narrated by the mezzo soprano Belén Elvira. This concert achieved tremendous success.
On future projects is worth mentioning a concert in 2014 with Belén Elvira and Jorge de León at the Wigmore Hall (London) and in 2015 a series of concerts with Belén Elvira and Beatriz Díaz in Galicia. He became a Professor at the Royal Superior Conservatoire of Music of Madrid from 1979 until 2013 and in 2003 he became head of the Vocal Accompaniment Department.