Manchester United striker Danny Welbeck hit a brace, but misses the game with Ukraine after being booked.
Lambert was also asked about Welbeck's yellow card and he said: "I really don't understand it.
"I was trying to get the reason why [the referee booked Welbeck] but he was having none of it.
"We were 2-0 up, so why would we be time wasting? I really don't get it.
"You could see the disappointment in his face at half-time, even though he had just scored. He couldn't understand it.
"He kept on going in the second half, was very professional.
"I said to him to keep going, try not to let it affect you and he was top class again in the second half. He could've got a hat-trick."
On his own performance, Lambert added: "I obviously wanted to try my best to help the team and I am hoping to give the gaffer another option as a striker.
"That is what I was trying to do, to impress again, and to score a goal again for England is superb.
"I was overjoyed to get my first start for England and for it to have gone like that again, it is terrific.
"Obviously it is going to be a different game again on Tuesday, we know that, and whatever role is in there for me, I am more than ready for it."
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