Challenging Ferrari about comments he made regarding the Islamic State being a "Muslim problem", LBC caller Mahmoud, from Putney, said: "A lot of this is to do with British and European foreign policy.
"It's unpalatable for people like yourself, but that is the fact."
But the presenter firmly disagreed, telling Mahmoud that those who are opposed to the government's foreign policy should leave the country.
Britain's foreign policy, particularly since the 9/11 attacks, has been under increased scrutiny in recent years. In 2003, two million people took to the streets of London to march against the Iraq War.
France's air strikes in Raqqa, Syria, on Sunday night - two days after the Paris attacks - led to thousands tweeting #PrayForSyria.
Speaking on LBC this morning, Ferrari said: "Many people are unhappy with aspects of the British government, it doesn't mean they decide to try and brainwash young people and have them...try and behead a soldier in Woolwich."
The 56-year-old presenter continued: "You have to accept that not your sect, but parts of the Muslim faith have to wake up and realise that this is the reality. 'You love life, we love death', I'll remind you of what Al Qaeda said."
When Mahmoud referred to the Syrian air strikes carried out by Western nations, Ferrari interrupted: "If you don't like it, Sir, go some place else... If you don't like British government policy and the only way you see of dealing with it is to go around shooting people don't stay in this country."
Ferrari continued: "Maybe I don't like British government policy, it doesn't mean I start shooting people," adding: "You are saying 'oh well this is British foreign policy'.
"Nothing, no aspect of current British foreign policy, excuses what went on in Paris. Not one single aspect."
Mahmoud lambasted Ferrari for his "racist" and "bigoted" comments.
He added: "If you start bombing countries you are going to have this sort of problem on your own territory."
Many people agreed with the caller from Putney, slamming the radio host for "promoting racist hatred" and "blaming" Muslims.
But others defended the radio presenter.
At least 129 people were killed following Friday's attacks across the French capital, leaving dozens critically injured.
Since the Paris attacks, a total of 23 people have been arrested and 31 weapons have been seized. Laptops, hard drives, phones, a rocket launcher have all been seized, French Interior Minister Bernard Cazeneuve has said.
Police conducted more than 160 raids overnight, with more than 104 people being placed under house arrest.
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