Saints earned a point thanks to Jason Puncheon's equaliser following Phil Bardsley's opener.
Asked if he had justified his appointment, Pochettino said: "I'm not sure.
"I've been hearing the same question for four months now. It's not for me to answer that question.
"Yes, we are happy. The players have put in an amazing performance in the four months that I have been here.
"That's what I can do. I can't speak about previous to when I arrived."