"But look, I'd only look at doing the right thing, something that had an opportunity to win at the end of the day.
The great thing is, is that Formula 1 is in a great place," said Horner.
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He observed the sport's growing popularity while watching the racing unfold from a different perspective over the past several months.
"The racing has been super this year.
Sitting back and watching it from behind the scenes and the interest in Formula 1 is sky high.
There's so much interest of people who want to get involved in Formula 1 so we'll see. We'll see.
I'm in no rush," said Horner.
Horner directly downplayed the widespread rumors connecting his name to various teams across the paddock, characterizing the links as standard speculation.
"BYD are a huge entity, a huge company. There's so much speculation; I think I've been going to every team on the grid so far.
I'm just here to enjoy the race and am here as a fan today," said Horner.
He concluded by acknowledging the current difficulties faced by Aston Martin while reiterating his neutral stance for the weekend.
"It's [Aston Martin] a great British brand and it's sad to see them really struggling as they are but there's so much speculation.
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One week it's Aston, the next it's Alpine, the next it's somewhere else. But I wish them all well today," said Horner.