The Charlie Appleby-trained colt may only have got up close home to deny Lone Eagle in his Irish Derby victory at the Curragh, but there was no doubting his class in the Group One on Bastille Day.
Buick had Hurricane Lane in the perfect position from the start behind pacesetter The Mediterranean, one of three runners from Aidan O'Brien's stable.
He led into the straight but Buick was always confident on Hurricane Lane and eased him into the lead a furlong and a half out.
The Frankel colt put the race to bed in a matter of strides and cruised clear to score with ease by six lengths.
Wordsworth, another O'Brien inmate, was second with Alenquer staying on well from the rear to grab third place, another length away. William Haggas' King Edward VII Stakes victor could not get into a challenging position from his wide draw.
Hurricane Lane was cut to 8/1 from 12/1 for the Prix de l'Arc de Triomphe, and has been trimmed him to evens favourite from 5/2 for the St Leger.
Buick said: "I would like to start by thanking France Galop, who have worked with the British Horseracing Authority. Their collaboration has made sure that everything was in place so that I could come and ride the horse. On Monday weren't even sure it would be possible. That was already a small victory.
"This horse is a superstar. He really had the perfect race today, unlike at the Curragh.
"The layout of the racecourse, the ground, the rhythm - everything was perfect for him. He has a good cruising speed and a strong acceleration. Even more so, he is a very relaxed horse in his head.
"Off the back of that, I think that the Qatar Prix de l'Arc de Triomphe has to be a serious option for the autumn time."
Hurricane Lane suffered his only defeat in six career outings when third to stablemate Adayar in the Derby at Epsom and Appleby believes he is one of the leading lights in this year's Classic division.
He said: "He's obviously been a very exciting horse to deal and he's only been beaten once in his life and that was in the Derby when I felt inexperience caught us out. Today's performance has franked him as one of the best three-year-olds in Europe and he's an exciting horse.
"As we always do, we'll allow the dust to settle but you would have to be thinking about him as a serious contender for the Arc.
"We'll give him a bit of a break now because he's run in an English Derby, and Irish Derby and then backed it up two and a half weeks later in a Grand Prix de Paris. He deserves to have a break, but whether he can give himself a break is another thing.
"He ran in the Grand Prix because he'd come out of the Irish Derby so well. He has a great constitution. He has a great mind and he shows his wellbeing in the morning."