Stoke won through a late Mamady Sidibe goal and were later criticised by Mowbray for their style of play.
Pulis was pleased with his side's efforts in collecting a fourth successive home victory and rejected suggestions that the game failed as a spectacle.
"Tony has only got to speak for his own side," he said.
"They've not had a shot on goal, so I can understand where he is coming from. I thought we played some good stuff today.
"People talk about different philosophies. They say we are different in what we do and what we don't do.
"Well, I don't like my team to go back then square, back then square. I like them to play through the pitch.
"If we can do that then we will. If not we'll play the angles and play to our strengths."