"We were a little bit unlucky to get beaten so heavily," Hodgson told Sky. "I didn't think we really deserved to get beaten 3-0.
"Pepe Reina wasn't called into action that often and I thought we had one or two good spells in the game but we were playing against a very effective and strong Manchester city side," he added.
Liverpool were without unsettled Argentine midfielder Javier Mascherano, who is linked to Spanish champions Barcelona, and the suspended Joe Cole but had Spanish striker Fernando Torres - a summer target for City - making his first start of the season.
Liverpool captain Steven Gerrard hit the post with a powerful shot in the second half while City goalkeeper Joe Hart, again favoured over Shay Given, made a stunning double save to deny David Ngog and Torres.
"When Hart made that incredible double save, at 2-1 that might have put some more life back into the game," said Hodgson.
"It's only two matches into the season...I think it's a bit premature to start discussing how big the job is," he added when asked about the task ahead of him.
Manchester City's Micah Richards (right) and Liverpool's Lucas vie for possession
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