"The fans were magnificent and I can't thank them enough for the way they cheered me from the first minute right the way through the game," Carson told the club's official website.
"Wednesday night was a low point for me - it was for all the England lads. But these things happen in your career and what matters is how you bounce back.
"I can't turn back the clock to change what happened and I expected a bit of stick from the Boro fans. I know other England players were booed around the country as well.
"But I didn't take it for granted that our fans would defend me like they did. They really lifted me and I'm glad I could keep a clean-sheet for them - they deserved it.
"The Villa supporters have been great to me ever since I arrived, but this was something else, it really was."