England finished bottom of their World Cup group in Brazil after losing to Italy and Uruguay, and only managed to get a single point thanks to a dour 0-0 draw with Costa Rica.
England fans seem to be turning their back on Hodgson's team with only 17,000 tickets sold for England's friendly against Norway at Wembley on September 3.
But, despite the pessimism surrounding his team, Hodgson says England will head into the qualifying campaign with the overall ambition of winning the 24-team tournament in France two years down the line.
"I don't think we will ever go into a campaign as England without setting to win it," Hodgson said.
"There will be stronger teams in front of us, but we know how small the margins are in tournaments.
"We have seen lots of teams win major tournaments who are not fancied to win it at all, like Denmark in '92, Greece more recently (at Euro 2004).
"We are going to plan well, set up well and give the players as much confidence as we can give them."
Hodgson also remains optimistic about England's immediate future.
"As a manager, you always hope your best moment is to come. It's dangerous to think too much about the past and get hung up on matches in the past.
"There will be moments you look back on with pride and others sorrow and regret, but that is part of life as a football manager.
"The great thing is that there is an awful lot to look forward to."
The England boss is hoping youngsters like Raheem Sterling, Daniel Sturridge and Jordan Henderson will step up and replace retired players like Steven Gerrard and Ashley Cole.
He added: "If you are replacing a 100-cap man with a 10-cap man he needs to get that experience of the ups and downs of a 100-cap man, and in the course of the next two years the players will get that experience.
"Some of the top clubs in the league are showing faith in their young players.
"I hope the players who we take to Euro 2016, assuming we qualify, will be much more ready than they are now."
Hmm, can't see it no matter how much I wish it was so, we just don't have the players at the moment at a level to win the Euro's. So many of the 'younger' players we took to the WC failed to show anything to let us believe they will be a force in international football in the next few years. Not even that sure that the current crop of midfielders are any better or even in the same league as the previous 'golden generation' of midfielders we had, same with the defenders, Cahill is currently our best defender and he isn't even on a level with the likes of JT, Rio, Sol or Ledley, even go further back to Tony Adams. Baines is nowhere near an Ashley Cole and Glen Johnson gets away with there not being a decent English RB our there with no one up and coming looking like taking his place of him. Joe Hart has moments of thinking about his next head and shoulders ad instead of stopping the ball going in the net, hopefully Frasier Forster can give him some competition for that number one jersey now he is in the Prem. Up front I think as long as we keep Rooney there it will be detrimental for the whole team, we need someone who will be our battering ram, not someone who runs all over the place but is not where our ball players need him to be so they can pass the ball to him in an attacking position, time to drop Rooney and play a proper player 'in the hole' behind the main striker which should be Sturridge currently. But without a halfway decent midfield we are screwed anyway, we'll probably qualify quite easily for the Euro's, but I wouldn't bank on us doing much better than we have previously.- chelseablue_no1