The 25-year-old has been in impressive form for the Hammers so far this season, having started each of their 11 Premier League games.
"I've just got to keep playing as well as I can for West Ham, and hopefully that will happen," he told BBC Sport. "I've got ambitions and goals and to be involved in something like [playing for England] that would be fantastic, but I've got to prove myself first.
"I'm just back in the Premier League this year. If you work hard, hopefully you make those goals come true.
"Every manager has their own opinions of players. At the minute I'm thoroughly enjoying things and if that day does happen, then I will enjoy it just that little bit more."
West Ham are currently sixth in the league table with 18 points from 11 matches.