Mercedes' other driver, George Russell, had been a surprise casualty in SQ2 as the team once again struggled in dry conditions, and started 11th having only narrowly avoided being knocked out in the first part of the session.
When asked by Sky Germany if he was satisfied with his team's qualifying results, Wolff was typically outspoken.
"No, I'm actually not happy at all, I'm annoyed," stormed the Austrian.
"I'm annoyed that we got it so wrong in Q2 with both cars, again with the tyre grip, and then we got it right in the third section. Free lap, that's all that matters, then the car has the performance, but the wobbling around in Q1 and Q2 doesn't make it any better for me now."
The top three drivers - Norris, Hamilton and Aston Martin's Fernando Alonso - all qualified with Mercedes engines, and Wolff at least drew some consolation from that.
"If you try to look at it in a very positive way and make a correlation between the qualifying X and the Mercedes engine, then yes [it's good], absolutely," he said. "Our engine is good to drive, we know that. And of course it helps, the layout."
Mercedes will need to replace Hamilton at the end of the season with the joint-record seven-time champion bound for Ferrari. The Scuderia's Carlos Sainz - who qualified fifth - has been linked with a move in the opposite direction.