The Englishman, who thought testicular cancer might end his career, thinks he can take the title after winning in straight games against the fourth- seeded British national champion, Paul Johnson.
After his 15-3, 15-6, 15-7, Parke said: "I am playing the best of my career. I feel in control and I am not making so many mistakes."
His next opponent is the title holder and world champion, Scotland's Peter Nicol. The local hero has an opportunity to avenge his defeat by Parke in Boston after winning his quarter-final, 15-7, 15-11, 5-17, 15- 5, against Anthony Hill of Australia.
Earlier, Cassie Campion, the top-seeded world champion, reached the women's final for the first time when she beat her fellow England international Linda Charman, 9-4, 9-0, 9-1. Campion called it one of the best performances of her career.