The Hammers fell to a narrow 2-1 defeat at Etihad Stadium after Rúben Dias and John Stones scored either side of Antonio's seventh goal of the season, but Pep Guardiola's men were made to work for their 20th consecutive win in all competitions.
"One thing you know you're going to get when you play City, is that they're going to have a lot of possession and you're going to have to chase the ball, but we went out there and gave it a good go," he said.
"We managed to get the goal and had some good chances in the first half. We had one good chance at the end of the second too. We showed the quality that we have."
Having also notched against Tottenham Hotspur a week ago, the No30 is determined to continue in his rich vein of form.
"That's my seventh goal of the season now and all I'm trying to do is go out there and do something for the boys," he added.
"I'm gutted that I hit the post with the first opportunity I had, but it was good to get the goal and I'll keep pushing and we'll see where we finish in the end."