The Denmark coach suggested that the Three Lions might struggle at World Cup 2014 after his side's 1-0 friendly loss on Wednesday but his counterpart insists that he does not care
Daniel Sturridge's 82nd-minute header earned Hodgson's side a 1-0 win over the Danes at Wembley on Wednesday but afterwards the opposition coach seemed unimpressed by England's performance.
As the 64-year-old left his post-match press conference he told the gathered reporters: "Good luck in the World Cup ... you'll need it."
Olsen also suggested that his side would have won if Tottenham playmaker Christian Eriksen had been available but Hodgson is not worried about his counterpart's comments and believes that his team put in a good display.
"I don't care about [Olsen's remarks]," he declared to the media. "Every team will need good luck. We didn't need it [on Wednesday], that's for sure.
"This was an important game. It was important we put in a good performance.
"I wanted a level of energy, players running back when they lost the ball, making tackles from the wrong side, not being afraid to make mistakes knowing, with their pace, they can recover.
"That's what I did see and we put the icing on the cake with the goal to win it."
The victory on Wednesday was England's last game before Hodgson names his provisional 30-man squad for the finals in Brazil on May 13.