The battered and bruised Three Lions squad touched down in Brazil on Sunday following a feisty encounter with Honduras, whose tackling was branded "horrific".
Daniel Sturridge missed two presentable chances in the goalless Miami friendly, and although a strong Italian defence awaits England in Manaus on Saturday, Hodgson is sure his team will have what it takes to break Cesare Prandelli's men down.
"We didn't score against Honduras but we scored five goals in the games against Peru and Ecuador, so I think it would be very harsh to start casting aspersions," the England manager said.
"Daniel Sturridge is an absolute out-and-out goalscorer and we think Rickie Lambert is too.
"Of course we have got the Rooneys, Welbecks and Gerrards and Lampards, so I don't think we're short of firepower."