The 25-year-old was named in the England squad for the games against Slovakia and Ukraine.
Cole made his debut for the Three Lions last month against Spain in Seville.
“I leant a lot,” Cole told West Ham’s official club website.
“There’s a few things I need to work on and hopefully I’ll be a more complete player when I next get the chance.
“I have got high ambitions and new levels of expectation around me now. I just want to fulfil my potential and get to the highest my game can get.”
