Arraya was born in Argentina, but his family moved to Peru in his early teens. His mother Alcira Arraya played temporarily as number 2 in the Argentine rankings at a high level; he himself began playing tennis at the age of nine. His sister Laura also played professional tennis. In 1979 he was in the final of the Orange Bowl , where he was defeated in two sets to Raul Viver . He graduated from the University of Arkansas and became a professional tennis player in 1980. In his second year on the ATP Tour , he was in his first final; at the tournament in Madrid he was defeated by Ivan Lendl . In 1982 he reached the final in Bordeaux , but lost to Hans Gildemeister . In 1983 he was in the final of Toulouse and again in the final of Bordeaux, which this time he won against Juan Aguilera in two sets. However, this should remain his only single title on the ATP Tour. In the same year he won his only double title at the side of José Luis Clerc in Palermo . He reached the highest rating in the tennis world rankings in 1984 with position 29 in singles and 85 in doubles.
His best individual result in a Grand Slam tournament was reaching the third round at the French Open 1983 by victories over Uli Pinner and Tomáš Šmíd . In the doubles competition, he never survived the first round.
Arraya played 22 singles and four doubles games for the Peruvian Davis Cup team between 1979 and 1989 . His individual balance was even, but he could not win any of the doubles games. His greatest success with the team was participation in the first round of the world group in 1989. This was just lost 2: 3 against Australia , with Arraya losing his two singles against Darren Cahill and Wally Masur . At the 1992 Summer Olympics , he competed individually for Peru. He failed in the first round to Javier Frana in five sets.