For 1984 Cogan was originally going to drive the No. 98 Dubonnet/Curb Records Ligier LC02-Cosworth DFX for Curb Racing and the No. 98 Dubonnet Eagle 84SB-Pontiac V8 for All American Racers each in select races. At the season-opening Toyota Grand Prix of Long Beach on the Streets of Long Beach Cogan would start 21st and finish in 28th place in the Ligier. At the Dana Jimmy Bryan 150 at Phoenix International Raceway Cogan would finish in 8th place aboard the Eagle. Then at the Indianapolis 500 Cogan returned to the Ligier. The car was off the pace at the beginning of practice and Cogan faced the possibility of failing to qualify. Cogan would eventually qualify for the race after Ligier and Curb parted ways and when Michael Chandler suffered career-ending injuries in the Eagle. During this time Mike Curb and Dan Gurney merged their teams to form Curb-All American Racers. In the race Cogan qualified in 27th place, setting a new speed record for stock block engines at Indianapolis. In the race Cogan retired to 20th place after suffering a frozen wheel after 137 laps. Cogan would leave Curb-All American Racers after the Budweiser Cleveland Grand Prix at Burke Lakefront Airport. Cogan would then start driving for Forsythe Racing in the No. 33 Skoal Bandit March 84C-Cosworth DFX. Initially results were good as Cogan was able to start 5th and finish 8th in his debut for the team at the Michigan 500 at Michigan International Speedway and would follow it up with a 10th-place finish at the Provimi Veal 200 at Road America. During practice for the Domino's Pizza 500 at Pocono International Raceway Cogan would suffer season-ending injuries. Cogan would finish 24th in points.