The giant striker has been left out of Roy Hodgson's recent squads but struck two goals for the Hammers on Saturday and hopes to get back into contention for a place
The 24-year-old has scored five goals in his nine games for the Three Lions but last featured in October having struggled for form and fitness with the Hammers since.
He retains motivation to win back his place, however, and told reporters: "I hope to play in every game for England but I haven't been picked.
"So I've just got to work hard here at West Ham and hopefully I'll be involved next time."
The striker scored the opening goal in a 3-1 win with a powerful header from a corner before giving his side a three goal lead with a sublime first-time finish from a free kick.
After a barren spell following his loan move from Liverpool Carroll has struck four Premier League goals in 2013 and he was relieved to add to his tally in a match that saw West Ham climb to 11th in the league and six points clear of the relegation zone.
He continued: "I was putting myself about and got two goals, so that's what I like to think I'm about. Obviously I like to score goals, so getting two shows that I've got it.
"I'm feeling good with the lads and everyone is coming together and we're playing well at home. It was a great win.
"The lads worked hard and I got my two goals and we got the three points, so it was a great day."