England made it two wins from two in Group G with an impressive 3-1 victory over Switzerland in Basle to help erase the memories of the Three Lions' below-par showings in South Africa.
Jagielka, who started against Switzerland, is now hoping the World Cup can be forgotten and that England can focus on qualifying on Euro 2012.
"I think there is not much more we can do now the World Cup has been and gone and we are in a new tournament now," Jagielka told Sky Sports News.
"We have started off really well and hopefully we can progress a little bit further in this tournament."
Everton defender Jagielka was impressed by the manner of England's victory over Switzerland in what was regarded as one of the toughest assignments in the group.
"It was always going to be a tough game, but I think especially in the first half the boys played really well, scored a goal and created quite a few others.
"But all in all job done."