Courtois suggested that he would have caught the shot Pickford failed to reach during the World Cup group game between their respective sides - a result which clinched top spot in Group G for Belgium.
Pickford has since made a string of crucial saves to help England into the semi-finals of the tournament, and the Everton man insists that he is not far from reaching the level of Courtois.
"I would not let that affect me. It is just a game of football. I don't let anything like that (criticism) affect me. I'm just a normal lad," he is quoted as saying by the Daily Mail.
"A lot of people think I am only young, but it is my second season in the Premier League, and I do not feel as if I am far away from guys like [Courtois].
"I got a lot of games under my belt in the lower leagues, and I don't feel the Premier League or this (England) is that much different. In some way, non-League and League Two was the hard challenge."
England will face Croatia in the semi-finals of the World Cup on Wednesday.