Saviano studied at Stanford University and was appointed to the top selection All American and the USTA Junior Davis Cup team. He became a professional tennis player in 1973, but was initially not particularly successful. In 1975 he was in a quarter-finals on the ATP Tour for the first time . His first semifinals he reached in 1977 in Little Rock , in the same year he was in the semifinals of Sydney . The following year he was able to move into a final for the first time. At the tournament in Sarasota he was narrowly defeated by Tomáš Šmíd 6: 7, 6: 0 and 5: 7. After reaching the semi-finals in Cologne in 1979 , he moved into the final in 1980. There he was defeated by his compatriot Bob Lutz . It was only shortly before the end of his career that he was able to win his first and only ATP individual title in 1983. In addition, between 1979 and 1983 he won three tournaments in doubles with changing partners. He reached his highest ranking in the tennis world rankings in 1978 with position 48 in singles and in 1983 position 94 in doubles.
After the end of his professional career, he worked as a tennis coach. He coached Eugenie Bouchard between 2006 and 2014 , who made it to position 5 in the WTA world rankings. After the interim separation, he looked after Sloane Stephens . In 2016 he resumed working with Bouchard.