"He started his two-year-old career late and made an impact straight away. He's come back really well at three and he's ready to peak here on Derby Day."
Waller has won the Coolmore Stud Stakes six times, most recently with Switzerland in 2024.
Right from the outset, Waller has been impressed with St Gotthard's quality.
"He's got speed and talent, and James McDonald has been impressed with him right from day one," Waller said.
"That tells me he's got the ability and it's just about bringing it all together and making sure he's ready to peak."
Out to register his first Coolmore Stud Stakes success is Ciaron Maher who had The Next Episode finish fifth, in a bunch, behind the tearaway leader and winner Paradoxium.
The Next Episode has been aimed at Group 1 sprint since winning on the Gold Coast in May and scored first-up in the Danehill Stakes (1100m) at Flemington on October 3.
Like Waller, Maher brought The Next Episode to Flemington for added experience ahead of next Saturday's race.
"It's been his aim all the way along," Maher said.
"He was great here the other day and he had a look down the straight before that.
"It's a month between runs and he had a nice (on) bridle hit out, and he should present pretty close to spot on."