The Scottish Conservative leader was a fierce advocate for remaining in the bloc during the campaign and was wheeled out in the Wembley television debate.
But, in an interview with The Times on Saturday, Ms Davidson bemoaned the lack of a strong Labour voice on the issue and claimed Jeremy Corbyn’s party could have swung the result.
She said: “I look at Jeremy Corbyn talking about a ‘Tory Brexit’ and I think, if you’d pulled your finger out there might not have been a Brexit.”
Although Labour was pro-Remain during the referendum, Mr Corbyn faced scathing criticism for a lack of visibility on the campaign trail.
Many of his shadow cabinet quit after the result, blaming him for not getting out their message on the EU.
Since then, the Labour leader has been evasive over what Brexit would look like under a Labour government.
But, a his party’s conference this week, Mr Corbyn said Labour would now guarantee the UK unimpeded access to the single market.
And she claimed the referendum result gave new impetus to the campaign for Scottish independence, at least until Nicola Sturgeon’s slump at the polls this summer.
The Scottish Tory leader backed the decision to hold the snap poll in June, saying it stopped the SNP moving towards another referendum.
She said: ”Theresa May might have lost her majority but by God she saved the Union.”
And the Scottish Tory leader revealed she joined the Remain campaign in an effort to stop the SNP calling for another Scottish independence referendum.
Ms Davidson said: “One of the main reasons I was part of the Remain team is because I knew what would happen if Brexit happened, that the SNP would use it to try and break up Britain again and I didn’t want to go back there.
“It will always be a bigger and more personal issue for me, the integrity of the UK, than if we are a member of a multinational body.”
In a bid to break the deadlock on trade talks, Theresa May announced in a Florence speech that Britain would be seeking a two-year transition period after it leaves the bloc in 2019.
But Ms Davidson said that, even after those two years,, she thought the arrangement with the EU would look very much the same.
She said: “In terms of what I want the end game to look like as a centre-right political, I want free trade.
“I’m not prescriptive about how that happens, whether its a comprehensive free-trade agreement or whether its staying in the single marker under the agreement we were previously under.”
Speaking on the eve of the Tory conference, Ms Davidson also appeared to take aim at Boris Johnson, who made his own intervention on the subject of Brexit today.
Seeing out red lines, including a transition period lasting no more than two years, the Foreign Secretary told The Sun that Brexit “is going to be great and we need to believe in ourselves and believe we can do it”.
But Ms Davidson claimed being overoptimistic risked “selling people short” and called for “serious people” to take control of the process.
She said: “I don’t take issue with optimism. I am quite often accused of having a kind-of, sort-of have-a-go element about myself as well.
“But there is the idea that this is quite hard and it needs serious people to do a lot of legwork and scan the detail to make sure we do get to a place where it will all be OK.
“It doesn’t just happen by accident, it requires a lot of hard work and it requires application.”
Recent polling by YouGov put the Foreign Secretary as the top choice to take over as party leader from Theresa May, with support from 23 per cent of party members.
He was followed by Ms Davidson on 19 per cent. Jacob Rees-Mog was just behind on 17 per cent.
But Ms Davidson ruled out leaving Holyrood before the next Scottish Parliament elections in 2021.