Born in Alagón, Zaragoza, Angoy was a product of FC Barcelona's youth ranks. He made his professional debuts with CD Logroñés however, and, already well in his 20's, spent several seasons with the Catalans' B-team, playing three years in the second division.
After the departure of legendary Andoni Zubizarreta and prior to the arrival of Vítor Baía, Angoy profitted from some injuries to first-choice Carles Busquets to appear in nine La Liga matches. As the 1995–96 campaign drew to a close, both him and manager Johan Cruyff (whose daughter was married to the player) left the club; after an unassuming spell at Córdoba CF, he retired from football.
Angoy spent seven years (1996–2003) at NFL Europe side Barcelona Dragons's kicker, then switched to Italy with the Bergamo Lions (IFL). In 1999, he had an unsuccessful trial with the Denver Broncos, the reigning champions of the National Football League.
Three years later, Angoy was selected to NFL Europe's All-Offensive team.
- Jesús Angoy at BDFutbol