Despite their criticism of the former prime minister, they backed Theresa May to use her “clout” in Brussels and broker Britain a positive divorce deal.
Mr Cameron, who called the historic EU referendum, left Downing Street and resigned his seat in the House of Commons after Britons voted to leave the European Union.
Speaking to Channel 4 News, one voter said: “I am going to be voting for Theresa.”
Another added: “I think she’s got a lot of clout in Europe and she is a good leader.”
Voters have shown support for Theresa May to deliver Brexit
David Cameron just wimped off, didn’t he?
The first continued: “David Cameron just wimped off, didn’t he?”
This comes as Mrs May plans to relaunch her snap election campaign by adding a new focus on the Brexit negotiations.
She will claim “economic prosperity will suffer, jobs and livelihoods will be put at risk, and with them the security and peace of mind of working families” if the UK fails to secure a successful European divorce deal.
Plotting to ramp up warnings about the high-stakes negotiations, she will say: “If we don’t make a success of Brexit, we won’t have the financial means to fund the public services upon which we rely.
“Our National Health Service – the institution which is there for us at the most difficult times – needs us to make a success of Brexit to ensure we can afford to provide it with the resources it needs for the future.
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“Every school in every village, town and city needs us to make a success of Brexit.”
According to Lord William Hague, Mrs May’s political rival Jeremy Corbyn will ruin EU negotiations if Labour wins next month’s General Election.
The former Tory leader said Brexit would be a “certain disaster” if Mr Corbyn was to be the one to steer Britain out of the bloc.
Snap election 2017: The pictures politicians may not want you to see Sat, May 27, 2017
Protests, fights and daleks, it's all happening as the politicians hit the campaign trail for the snap election
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Jeremy Corbyn during a visit to Hackney Marshes Football Pitches, to highlight Labour's manifesto commitment to ensure 5% of the Premier League's television rights income is diverted to the grassroots game, during a General Election campaign
Writing in the Telegraph, Lord Hague said: “It’s obvious that a government with stronger support in Parliament will be in a better position to see off attempts by the EU Commission to divide British opinion over the exit terms.
This is set to be the most complex challenge for the UK in modern times, and millions of jobs are ultimately going to depend on this country being in a strong position whatever happens.
“Jeremy Corbyn and Labour have acted as if Brexit is not taking place, hoping that voters will forget that the crucial task of conducting the negotiations is about to begin only days after polling day.
“The one way to turn leaving the EU into a certain disaster would be put to Mr Corbyn in charge of it.”