The LBC presenter produced a list of closures caused by Conservative spending cuts.
The education secretary was grilled by BBC Breakfast presenter Charlie Stayt.
The former president had suggested that his successor was reluctant to debate him. But on Wednesday, that claim was thrown out the window.
"Let's pick the dates, Donald. I hear you're free on Wednesdays," the president said, referring to the day of the week Trump is not in court for his criminal trial.