Out from Q2 went Fernando Alonso of McLaren in 11th ahead of Sergey Sirotkin of Williams, Ericsson, Hamilton and Daniel Ricciardo, who will start from the back of the grid after taking penalties for engine parts changes and did not clock a lap.
Vettel, who is also bidding for a fifth title, leads Hamilton by eight points.
In Britain two weekends ago in front of his home fans, Hamilton went from pole position to last after tangling with Ferrari's Kimi Raikkonen at the start but managed to fight back to second place.
"But then I got back and my first thought is that we all feel the same pain in the team".
Hamilton obliged at the exit of Turn 10 and briefly attempted to push his auto back to the pits, before aborting such a plan, slumping disconsolately beside his stricken W09.
Eden Hazard to hold Real Madrid talks
The 59-year-old has succeeded fellow Italian Antonio Conte, who was sacked by the club. With Eden Hazard and Thibaut Courtois the same is possible.
"Toto is a great human being and a great manager", said Hamilton.
"It's great to get the lap together here and obviously it means a lot with the support that I get and we get as a team, with so many passionate German Tifosi, I think is quite nice".
The spokesman said it was important to stop the vehicle to prevent "heat soak damage" to the power unit as happened to team-mate Bottas during the race in Austria earlier this month.
"It's an unimaginable number I would say at the moment", he said. I'm not talking to anyone else.
"The assumption I've seen people have made were that the terrible bumps I experienced later on were the cause of the failure, which is not the case", explained Hamilton. I'm not playing you against anybody else. Now we take the English flag and hang it in Maranello.
Thai boys leave hospital and speak about their rescue from cave
Numerous young boys said they wanted to apologise to their parents as they had not told them they were going to explore the cave. Towards the end of their introduction to the world the Wild Boars were asked what they wanted to be when they grew up.
Hamilton explained that he had agreed a basic contract by the time of the Monaco Grand Prix in late May, but subsequent delays were due to his own preoccupation with details. "I just want to keep pushing".
"We seem to have damaged a bit in the vehicle, or something, going over the kerb", he told Sky Sports, "and that caused the hydraulic leak".
"I think it's not that easy, you have that massive long straight at the back, it's not that easy to overtake here".
Unquestionably the young Frenchman would jump at the opportunity to join the legendary marque but are the Italian team ready to put their faith in such a young driver and how intent are they in appeasing their No. 1 driver, the title-chasing Sebastian Vettel?
Tory MP urges vote of no confidence in Theresa May over Brexit
May added amendments that have been controversial, as the British government initially opposed them, but reversed course. Junior Defense Minister Guto Bebb, who'd supported May's initial plan, objected to the new plan and also resigned .