"How arrogant and naïve would that be for anybody at Aberdeen to say that," McInnes told BBC Scotland.
"We can't stop people saying nice things about us, but all we're trying to do is take each game as it comes and see where it takes us."
Interview - Aberdeen boss Derek McInnes
Calvin Zola netted his first goal since moving from Burton Albion before Peter Pawlett added a second and Josh Magennis rounded off the scoring with 20 minutes remaining.
"From start to finish, it was a very good performance," said McInnes.
"It had to be to beat a good Partick Thistle team. They've got boys who are playing with a lot of confidence and who handle the ball well at the minute. We had to really rattle them and get after them.
"Gregg Wylde and Jonny Hayes forced two very good young full-backs back the way and that had a big bearing on the game."
The Dons were without their talisman, Niall McGinn, who has sustained bruising to his foot, but McInnes was pleased Zola opened his Aberdeen scoring account after a frustrating start to his Pittodrie career.
"We've used the international break to really top his fitness up," added McInnes.
"We gave him a really tough week of work and I think psychologically it's been good for him.
"He feels a bit more able to be the player he can be."
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