"We'll probably look to the Dewhurst or something like that; he's got so much class and so much speed and he's very well bred, we're very lucky to have him in our stable," Cole said.
He ruled out a specific upcoming target while evaluating future options.
"We're not used to these kinds of horses so back to the drawing board (for plans). The Royal Lodge probably not.
I'll have to go away and have a think about it," Cole said.
Cole acknowledged the sentimental value of achieving victory during his first official year as trainer.
"It means a lot (to follow in his father's footsteps). My first complete year as a trainer, it means a lot.
It's not just me, there's a big group at home that work so hard – I'm very proud of all of them," Cole said.
The trainer voiced praise for Fraser's skill and composure in the saddle.
"Kaiya is a very capable jockey and he was very relaxed before the race.
We haven't used him that much, but you're in safe hands with him," Cole said.
Outlining the ultimate goals for the horse, Cole pointed toward major upcoming features.
"He's a very fast horse, classy and pretty uncomplicated and we'd done stalls work at home because he got loose before his last race at Ascot.
We'll give him a bit of a break now and we'll probably look at the Dewhurst, that's his ultimate target.
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The Breeders' Cup is a possible, unless he does well in the Dewhurst in which case he'll be trained for the 2,000 Guineas–that's the big dream," Cole said.