Phil Foden struck the only goal of City's 1-0 win.
Pochettino said: "I'm not frustrated with the result - that's football. It was an even game and we deserved more, at least a draw.
"The man-of-the-match was Ederson but in football this sometimes happens. I'm so happy with the performance in very difficult circumstances.
"We competed really well and we had clearer opportunities than them. Just because you deserve it, doesn't mean you always get it."
On an apparent Kyle Walker hand-ball, Pochettino added: "I'm not going to complain. I try to be fair in my comments. The referee was in a good position, I think it was a clear handball but I accept the decision not to give a penalty."
On the race for the top four, he also remarked: "We will try to win our games. We are working so hard. It will be tough because we are fighting with big teams."