At age nine, Oliveri starred as Paul Bard in an episode of ABC Afterschool Special. Two years later he made a guest appearance on Friday the 13th: The Series, based on the film franchise, as Mike Carlson. That same year, he starred as Young Nelson in the television movie, Ask Me Again. Also that year, he landed the role of Nick Szalinski, the son of Rick Moranis's character in Honey, I Shrunk the Kids.