The Three Lions were criticised for their performance during the 1-1 draw with the Republic of Ireland at Wembley last week.
Former England striker Gary Lineker was particularly sceptical of the team's tactics under Roy Hodgson, saying it was a return to the 'dark ages' of English football.
Hodgson's men bounced back from their Wembley disappointment by securing a hard-earned 2-2 draw with Brazil at the newly renovated Maracana Stadium in Rio on Sunday.
It was a satisfying end to England's season but the players know that hard work lies ahead in the autumn if they are to secure a return to Brazil at the World Cup next year.
Hart, who made a number of fine saves against the five-time world champions, insists he will not let what the critics say bother him and neither will his team-mates.
"I'm not interested in stuff like that," said the Manchester City keeper. "They can tweet all they want from their sofas - we are out here doing it.
"It is hard work and we are enjoying it. No one in the squad is interested and they can tweet all they want.
"We've beaten Spain and Brazil at home in the past year-and-a-half. No one has taken us apart - we just need to get over the line in the World Cup qualifiers. We dug in when we needed to and we have to repeat that."