He said: "He's a very special horse and is irreplaceable. It's very rare that you get a horse that can travel the world like him, it's incredible really.
"He ran a great race in America and we were very happy coming here. All the lads were really happy with him through the week and Ryan has given him a brilliant ride."
Ralph Beckett's Chemical Charge fared best of the British challengers in finishing fourth, while the Richard Hannon-trained Danehill Kodiac and Sir Michael Stoute's Smart Call finished out of the frame along with Willie Mullins' Max Dynamite.
Stoute felt his charge had not enjoyed the best of passages and is eager to carry on next year with the former South African star.
He said: "Jim (Crowley) had to sit further back than ideal but she stayed on well at the finish.
"It was always going to be hard from that draw (11), but I think the owners are aware she hasn't had the rub of the green this year and are quite keen to keep going with her next season."
Crowley said: "She's run a good race, she had a bad draw and I probably had to sit a bit further back than I wanted to but she's run well."
Jockey Sean Levey said of Danehill Kodiac: "He's proven he's a Group Three horse at home but he was found wanting against Group One horses today."
Glyn Schofield rode Max Dynamite, and he told www.racing.com: "He ran really well, landed a lovely spot. The pace was probably a bit sedate but he ran well."