Jamie Vardy rescued the victory for England late on, though, and Rose admitted that he was "lucky" to then be named the man of the match.
"I think I might be a bit lucky considering I put myself at fault for the first goal. I take full blame, definitely," he told reporters.
"I was up against a very good player, as you will be at international level, and it was one of the toughest games I've had this season. But the lads helped me keep my head up for the rest of the game and I feel like I did better in the second half.
"I have to thank my teammates for that. I'm playing in front of a class goalkeeper in Joe Hart and he's forever talking to me throughout the game and he helped me pick my head up, as did the other lads."