Even though Liverpool had 74 per cent possession and took 22 shots at goal, they were unable to find the back of the net once.
The goalless draw is a major setback for Liverpool's hopes of a top-four finish and a Champions League spot.
"I thought they were excellent," Rodgers told BBC Sport. "We didn't get the win, but our overall game was outstanding.
"I was pleased how the players kept their patience and kept working the ball. The one area we were missing, as for most of the season, was goals."
Rodgers was particularly impressed with his side's defence since they ensured West Brom did not walk away with three valuable points.
"Dejan Lovren was excellent," he said. "Balls into the box both him and Martin Skrtel dealt with very well.
"I thought Emre Can was incredible today for a young player who I've asked to play in a number of positions. We defended well as a team, and attacked well as a team."