The 25-year-old, who has been blighted by injury this season, last played for his country back in 2012.
Despite a lack of international football for Carroll during the past 18 months, Hurst believes that the forward still has an opportunity to play himself into Roy Hodgson's plans.
"There is every chance for Andy. I mentioned him recently while doing some media work not because he is a West Ham player, but because we talked about people who have the opportunity," he told West Ham's official website.
"There are 10 Premier League games to go and if he scores in every game and West Ham continue to rise up the table and he keeps himself fit, he has the chance."
Carroll has scored one goal in seven games for West Ham this season.