From 1987 to 1992, Everett qualified for the U.S. Olympic team where he won gold and bronze medals in the 1600 meter relay and 400 meters in the 1988 Olympic Games in Seoul, South Korea. Everett also won gold, silver and bronze medals at the World Championships in Rome, Italy in 1987 and in Tokyo, Japan in 1991. During his career, Everett set five world records in the 300 meters, 400 meters, 1600 meter relay and 4 x 200 meter. In 1992, Everett qualified for the U.S. Olympic Team, running the fastest Olympic qualifying time in U.S. history at 43.81 and at that time the second fastest time in history. Everett suffered a foot injury at the 1992 Olympic Games in Barcelona, Spain.