Rodgers admitted to being frustrated by the result, but was full of praise for his players for standing up to a physical Stoke side, but he did not believe the visitors had been over-physical.
He said: "No, they are a bunch of big men who make it difficult for you and there is no right or wrong way to play football. What I was proud of is our young guys stood up to that.
"It was a physical game today but no complaints from us. I thought maybe the referee didn't see it that way and didn't give some decisions he should have done.
"I am obviously disappointed we didn't win the game but I thought the attitude and application of the players was terrific.
"As the game on we got into good areas but it was just that final touch, that final decision at the end of it didn't allow us to score.
"There were a lot of real positives from the game and our first clean sheet which is important.
"We had so much dominance, particularly second half, so I was pleased with how we kept going."