The Three Lions booked their place in Brazil on Tuesday evening with a 2-0 victory over Poland, courtesy of goals from Wayne Rooney and Steven Gerrard.
And Carragher, who represented England in South Africa in 2010, thinks Roy Hodgson's men would do well to reach the last eight this time around.
|25/1||England are 25/1 with Coral to win the World Cup
"It looks like we are going to be involved in a group with top nations and that would make it difficult to get out of, while you also need to take into account that it will be played in South America.
"There are different weather conditions as well, so if England could get to the knock-out stage they will have done well."
Carragher worked with Hodgson for a short period at Liverpool from July 2010 to January 2011, and has faith in the 66-year-old despite a difficult spell at Anfield.
"[Roy's] had a long managerial career, so every job is not going to go great," he continued.
"The Liverpool one didn't go well, but he then went to West Brom and did a great job and before it at Fulham he did a great job.
"The England job and the Liverpool job are sort of similar because they are high profile, but England is a lot bigger really because the whole nation is looking at you.
"I'm pleased for the country and the players that are there - and for myself as a fan to watch it over the summer - but I am extra pleased for Roy."