It came after the Prime Minister warned of a "catastrophic and unforgivable" breach of trust in democracy if her exit plan is defeated and the United Kingdom remains in the EU.
In a significant shift of tone apparently created to win over hardline Brexiteers who have set their faces against Mrs May's deal, Mr Hunt warned that defeat next week would not necessarily provide MPs with the opportunity to choose their preferred version of Brexit.
Corbyn said: "What I'm saying is we're campaigning for a country that is brought together by investment", adding that people were "very, very angry about the way they've been treated in their different communities around the country".
However, Corbyn's priority is to force a national election and he said he would propose a vote of confidence in the government "soon" if May loses on Tuesday.
On Friday, her foreign minister Jeremy Hunt said Brexit might not happen at all if May's deal was defeated.
Corbyn declined to say whether a Labour manifesto for a snap election would promise to deliver Brexit, arguing that this would be up to party processes, but strongly indicated his preference would be to depart with a deal that keeps the United Kingdom in a customs union and with access to the single market.
"You, the British people, voted to leave", Mrs May wrote.
"You have delivered your instructions".
Mrs May said: "When you turned out to vote in the referendum, you did so because you wanted your voice to be heard".
The embattled leader said some voters in Britain's 2016 referendum on European Union membership had trusted politicians "for the first time in decades" and lawmakers must not let them down by now scuppering Brexit.
"And there is a problem that if you have a referendum and you tell everybody that you're going to observe the result and do what the people decide, the referendum was not about trade agreements, it was about whether as a country we want to take our own decisions in the world".
"Doing so would be a catastrophic and unforgivable breach of trust in our democracy", May said.
My message to Parliament this weekend is simple: it is time to forget the games and do what is right for our country.
Mrs May has also faced calls from predecessor Sir John Major to revoke Article 50 to stop Brexit as he warned it would be "morally reprehensible" to crash out without a deal.
More than 100 MEPs from 26 European Union member states have also signed a letter calling on the United Kingdom to "reconsider" the Brexit decision, saying the its departure will "weaken all of us". "We will do everything we can to prevent a no deal exit".
He told Sky News's Sophy Ridge On Sunday he talks to Defence Secretary Gavin Williamson "quite regularly" about no-deal Brexit planning.