Kane suffered a serious ankle injury after a clash with Fabian Delph.
Before coming off, Kane was on the receiving end of some rough treatment from City — Fernandinho notably clattering him in the air before elbowing the forward and pushing his head into the turf.
Pochettino refused to be drawn on whether the Brazilian should be punished retrospectively. But he is certain that Pep Guardiola's side were not intent on hurting Kane.
"I don't believe City made a plan to kill him," he said. "Of course they know that Harry Kane is one of our best players and it's normal to be tight and tough with him, like us and their players. But, for me, it was an accident.
"Delph and Harry didn't want to crash, they were so tough going for the ball. Yes, when Delph stepped, Harry twisted his ankle and he was unlucky. It was an action that was a little bit unlucky for him. Of course it was a situation but I don't believe Harry was a target for City."