The winger praised the team display after Hodgson's men condemned their opponents to an early exit from the tournament, while he is hoping to provide more of the same in the future
Andy Carroll handed Roy Hodgson's men the lead with a powerful header but the Swedes replied with a quick-fire double just after the break. The Arsenal winger was then introduced, making a big impact by scoring the equalizer and setting up Danny Welbeck's winner.
However, the 23-year-old dismissed the idea that he single handedly won the game insisting that it took a team effort to secure the three points.
"I wouldn’t say I was the game changer," the Englishmen told the BBC. "It's always nice to come off the bench and to show what you can do. Obviously I have been disappointed to not play, but I have been training hard and it is not about the starting line-up, it's about the players who come off the bench.
He added, "It is a whole squad thing. We are a family, we are all together and it is great.
"I was sharp warming up so I could be sharp on the pitch. You have to be sharp at this level because it is really tough."
The Three Lions were outnumbered by Swedish fans in the stands, however, the number of England supporters that did make the journey made sure that they were heard.
The Arsenal man praised the England faithful for their support, adding he hopes to repay them with more displays like Friday night's in the future.
He continued: "It means a lot for the fans who have traveled out here and just to make my first appearance in such a high profile arena, it just means so much to me. It has been a long time coming and hopefully it is just the start from me."
The former Southampton attacker agreed that the match was similar to a Premier League clash, due to the number of players based in England involved, before hailing the team's attacking display.
"Yeah it was always going to be like that because there are a lot of Premier League players in that Sweden team," Walcott said.
"We felt in the first game we wanted to pick it up a little more offensively and to score three goals is the main thing. We worked hard."