Martin O'Neill's side eased to victory thanks to two spectacular goals from Fraizer Campbell and Stephane Sessegnon, while Canaries defender Daniel Ayala scored an own-goal to make it 3-0.
Despite admitting that his team were out-played by the Black Cats, Lambert insisted that his team would bounce back from their second defeat in ten games.
“I’ve got no complaints, the better side won on the night,” Lambert told reporters.
“We were second best and when that's the case that's what you get. There's not many times I've said that this season so I'm not going to be over-critical. We go again Saturday against Bolton.
"We never get carried away whether we win, lose or draw so I won't criticise the group because I know what they've done for me for the last couple of years. We were well beaten.”
Lambert watched on as Norwich were beaten thanks to goals from Fraizer Campbell and Stephane Sessegnon before Daniel Ayala deflected in an own goal.
"It's no surprise Sunderland are reviving under Martin. I worked under him for five years at Celtic so it's no surprise they're doing so well under him,” Lambert added.
"The first goal's a wonder strike, the second goal was disappointing because we were attacking and we made it too easy for them. Their third goal came from our free-kick so it’s disappointing so it's good to have a game again on Saturday.
"I'm confident we can pick ourselves us I've got no worries about that. We take the disappointment, mull over it and Saturday will be on us before we know it.
"If you're not bang at it, you'll get beaten. But more times than not we've been on it.”
Lambert also poured scorn on Rangers’ attempts to sign skipper Grant Holt, insisting it wasn't even close to matching their valuation of the former Shrewsbury town target man.
“I spoke to Ally McCoist on Tuesday and obviously Rangers put a bid in which was nowhere near Grant's valuation anyway in my view but plus I wouldn't let him go,” Lambert added.“That is what I said the other day and nobody would believe me but the valuation I have got of Grant and the money that Rangers offered was nowhere near.
"Grant is fine. I spoke to him about it and told him what was going on and he was fine with it. He seems to be okay but it's my duty to keep him informed over what had happened.
"He's the club captain and he has done terrifically well and the Rangers offer was there but as I said the valuation was nowhere near what I thought it should be but more importantly I wouldn't let him go anyway.”