Five of Hart's 10 England caps have come in the rebuilt stadium. He is unbeaten too, with three wins and two draws to show for his efforts, plus a couple of clean sheets.
"I have good memories of Wembley but I want better ones," he said. "I want some with Manchester City. Hopefully I will get two games there with them this season."
Hart admits the City dressing room has been a pretty sombre place this week after Monday's defeat at Liverpool.
The defensive solidity Roberto Mancini appeared to have instilled in his squad during the early months of the season has evaporated.
Hart was given virtually no protection at Anfield and had it not been for an excellent fingertip save to deny Luis Suarez, the Blues would have been behind long before Andy Carroll's first Reds' goal began a nightmare City have rarely experienced in recent times.
"It is not the end of the world but for anyone who is human, a result like that hurts," said the 23-year-old.
"We need to use it positively. It has made me angry and wanting to finish the season well.
"There is no point leaving at Anfield what we have done all season."