The Tottenham star put in a solid performance as Spurs came up against a goalkeeper on form in Joe Hart.
Despite an open game with plenty of chances for both teams, Sergio Aguero's superbly taken effort midway through the first half was the sole goal and ensured three points would be going to the last season's champions.
Speaking to Sky Sports and quoted by BBC Sport, the former Leeds youngster felt the home side gave a good account of themselves, with the quality of Aguero's finishing the only difference.
"We deserved a point, and had two or three good chances," BBC Sport report the 24-year-old as saying. "Manchester City scored with their first real chance and had that class to put the ball in the net. We're all bitterly disappointed because we deserved something out of the game.
"I think we've done well against the big teams at home but everyone should be proud of themselves. City have just shown a bit more quality in front of goal. The chances that did come for us, Joe Hart's made some great saves and kept them in the game."
Rose returned against City after missing the draw with Southampton last weekend with a hamstring injury. He enjoyed an intriguing battle with fellow Yorkshireman James Milner on Tottenham's left, with both players' commitment and tenacity evident on more than one occasion.
Despite Champions League football looking more and more unlikely as Spurs head into the final three fixtures of their campaign, the left back was determined to get maximum points between now and the end of the season.
"We're looking to get nine points out of the remaining three games now," he said. "I think we've shown great work-rate and attitude and need to show that in the last three games."