The actor told the Radio Times that such attention makes him consider moving to the US.
"All the posh-bashing that goes on," Cumberbatch said. "I wasn't born into land or titles, or new money, or an oil rig.
"[I'm] castigated as a moaning, rich public school b**tard, complaining about only getting posh roles."
He added: "So domestic, and so dumb. It makes me think I want to go to America."
Cumberbatch has previously complained about being typecast because of his upbringing.
"Being a posh actor in England, you can't escape class-typing, from whatever side you look at it," he said last year.
"I realised quite early on that, although I wasn't trying to make a career speciality of it, I was playing slightly asexual, sociopathic intellectuals."
When it was suggested that drinking green tea had turned him 'all LA', Cumberbatch said: "No, I'm just being good today.
"And actually, you know, LA is not all that abstemious. There's much more drinking and partying going on than I thought there would be.
"It's all about extremes with that place, so you get the worst excesses of everything - the health-kick thing, over-indulgence, recreational drug use, everything. It's paradise!"
