Saratoga Race Course has hosted some big races through the years. The Travers is the big draw. It was huge in 2015 when Triple Crown winner American Pharoah came to town and lost. WNYT reports However, Saratoga has never hosted a Triple Crown race. That could change in June 2025. Belmont Park is scheduled to undergo a nearly half-billion-dollar renovation starting soon after next year’s Belmont Stakes. It may all depend on how quickly that work moves along.