The Reds were held to a 0-0 draw by the visiting Hammers despite dominating large portions of the contest whilst Daniel Sturridge was flagged for offside when putting the ball in the back of the net in the second half - a decision rued by Rodgers.
"We obviously played very well," Rodgers told Sky Sports. "I thought some of our game today was very good.
"We had to control West Ham, coming off the back of a good result against West Brom, on the counter-attack and I thought we did that well.
"Offensively our drive and determination going forward was very good in our game. But you need the energy to keep persevering until you get the goal.
"Obviously when we did get the goal it was deemed offside and if you watch it again it was clearly onside so that was the bit of luck we needed to get the goal and open the game up.
"Unfortunately, it wasn't to be."