The Hammers failed to make it two wins out of two as they went down 3-1 at Upton Park.
Despite the result, Noble believes that West Ham gave a good account of themselves on the pitch.
"We had a good go in the second half," he told the club's official website. "We had a couple of half-chances in the first half, too, where if the ball had dropped or we could have bundled it in, we could have gone ahead.
"Against those sort of teams you have to ride your luck and they scored a couple of great goals and we got beaten by the better team in the end."
West Ham continue their Premier League campaign next Saturday when they travel to Swansea City.