The Manchester City forward drew first blood for the Three Lions before Harry Kane sealed the victory with a flying header in the 86th minute.
England will look to book a place in the semi-finals when they play Ukraine in the quarter final and Sterling believes the focus is now on their next game after a tremendous victory over Joachim Low's Germany.
“We knew we need to put in a very good performance against a very good side and I thought we did that,” Sterling said.
“Doing it for your country is always special and it’s definitely a special moment. I wondered if it (my goal) was offside, but I was very happy it went in.
“We knew the intensity we can play at and not many teams can deal with it. The two boys in midfield, Declan Rice and Kalvin Phillips, they were class, they ate up ground. An all-round great team performance.
"We’ll take it game by game.
"We’ll go away and recover and get focused on the next one.”
With the succession of huge nations exiting early, England stand the chance of winning their first major title in many years.
Sterling has now scored three goals for England and is the leading goalscorer for Gary Southgate’s side in the tournament.
