Terry Bywater led the scoring with 24 points in a 77-48 victory.
"It's another dream, another Paralympics and there's no reason why we don't deserve it," he told BBC Sport.
The women's team, who lost their final pool game 64-52 to the Netherlands, have already qualified for Rio.
GB's men are chasing a third straight European title after back-to back successes in 2011 and 2013.
They got off to a slow start against the Italians in the first period, but a three-point basket from Bywater sparked a run of 10 unanswered points to take a 36-27 half-time lead.
Haj Bhania's side eased their nerves in the second half to earn a 29-point win and book a semi-final tie against Germany on Friday (14:45 BST).
GB women will play London 2012 Paralympic champions Germany in their semi final at 18:15 BST on Friday after a hard-fought effort against the Netherlands.
Helen Freeman finished the game with 28 points but it was not enough to upset the tournament favourites, who raced away with the lead in the second half to claim a 12-point victory.

David Lee Cartwright, from Cefn Mawr, Wrexham, was travelling towards Mold where he worked at the town's Tesco store when the incident happened on Tuesday evening at Pontblyddyn.
He died at the scene.
North Wales Police are appealing for witnesses to the crash involving his red Volkswagen Bora on the A541 road at 21:50 GMT.

The cyclists pedalled past London landmarks including Big Ben, the London Eye and Piccadilly Circus as part of the World Naked Bike Ride.
The riders converged on Hyde Park Corner from six start points.
The annual event aimed to highlight the vulnerability of cyclists as road users and to celebrate the human body, organisers said.

The disturbance broke out in Walmersley Road, Bury, at 22.10 GMT on Friday.
Five men were taken to hospital, including the three who were stabbed. One was left in a "potentially life-threatening" condition, police said.
Three men, aged 32, 22 and 24, were arrested on suspicion of violent disorder.
Greater Manchester Police said "a number of weapons" including an axe, knife and hammer were found at the scene.
Officers are trying to trace a blue Volkswagen Bora involved in a chase with a silver Seat Leon and a white Hyundai shortly before the fight.
They are also looking for a dark-coloured BMW 5 Series which drove off carrying two white men and two Asian men.
Det Insp Charlotte Cadden said: "We already have a number of witnesses, but we need members of the public to come forward to help us."
Great Britain beat Italy in the men's quarter-finals of the European Wheelchair Basketball Championships to qualify for the Rio 2016 Paralympics.
[NEXT_CONCEPT]
A 31-year-old man who died after his car crashed on a Flintshire road has been named by police.
[NEXT_CONCEPT]
Hundreds of naked cyclists have taken to the streets of London to protest against car culture and oil dependency.
[NEXT_CONCEPT]
Three men were stabbed during a fight involving 10 men and weapons including a knife, hammer and axe in Greater Manchester.