Two goals from Arsenal striker Danny Welbeck in the second-half sealed a 2-0 victory for the Three Lions in Basel, a just reward for his side’s efforts according to the boss.
"I've never lost faith. I'm pleased to see the boys play well,” said Hodgson.
Switzerland 0-2 England
European Qualifier,
Group E
Monday 8 September 2014
St Jakob Park, Basel
“I thought the way we approached the game was exactly what we wanted from the first minute and we got our reward.
“We made hard work of it because there were so many chances to score before we eventually got the one that we needed.
“But it was a good performance away from home against one of the better teams in the group and I'm pleased we won.”
He added: "They were a little bit content to let us dominate in the first half - we pressurised the ball well but you need that first goal to open people up and then they come at you.
“When they started to come at us I thought we could have aggregated the score on many occasions before Danny finally did.”
Although naturally delighted with the three points, Hodgson says there is still room for improvement from his young side.
"We can do better defensively,” he admitted. “There are areas we can improve and I've said all along you can't expect players playing their early games or even making their debuts for England to always make the right decisions and not show some naivety from time to time.
“That's the pressure of the game and their adrenaline is up but they're areas we can work on and we have a couple of years to do so."