England rounded off their week-long stay in Miami with a storm-affected goalless stalemate against Honduras.
That draw came three days after England failed to beat Ecuador, who exposed England's defensive frailties on the counter-attack.
Hodgson insists very little should be read in to the friendlies.
"I have to say these warm-up games, I don't know that they necessarily answer many questions," the England manager said.
"You answer your questions over a long period of time.
"When I look at the other warm-up games I am pretty certain I am not alone in thinking it's just a way of getting yourself to Rio where the real tournament begins."
It was therefore something of a surprise that England did not pick up any injuries.
Four years ago, England arrived at the World Cup in the eye of a storm created by injuries to key players, Fabio Capello's contract negotiations and the embarrassment caused by the Capello Index.
This time the squad appears united and their only injury concern is Alex Oxlade-Chamberlain, who has travelled to Brazil despite suffering medial knee ligament damage against Ecuador.
"It has been three excellent weeks of preparation," Hodgson added.
"The squad is growing stronger, they are bonding together very well and the mood is one of quiet optimism and a reasonable degree of confidence. That is all you can hope for.
"Now is when the real football begins and I am happy that we are in good spirits and the players have really done as much as we could ask of them."
Jon Flanagan and John Stones have now left after spending the last three weeks with the squad.
The standby duo have been told they could be called up at any time though if Oxlade-Chamberlain does not demonstrate sufficient progress in his recovery from the injury to his right knee.
Hodgson has until Friday to decide whether he will replace Oxlade-Chamberlain, and for now he is positive about the midfielder's chances of playing some part in the tournament.
"That is what we are hoping for," he said.
"But there are still a few assessments to be made on him so I wouldn't want to suggest that is a stone-wall certainty."
After their overnight flight from Miami, England have checked into their hotel near Ipanema beach.
Preparation for the Italy game will begin in earnest on Monday, when England will hold a fully-open session at their training centre at the Urca military base in the shadow of Rio landmark Sugar Loaf mountain.
So after three weeks together, does Hodgson have a firm idea of his starting XI for the Italy game?
"Pretty much, yeah," he said.
"In these three games certain players have performed better than others. Now we will have to start thinking about (the group) games.
"Whatever team I decide to use against Italy will be very, very competitive and I am sure we will show the discipline and organisation we showed (against Honduras)."
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