A Capitan's Pride
Kita just wanted to play, because he loves the game so much.
He is the captain. He takes a great deal of pride in his teammates' abilities, because he is a part of the team, he is the leader of the team, and maybe he imparted some wisdom to them. So for every victory, every point his team makes, it reflects back on him.
Now is when the emotions come. I bet he normally spent talk to sappy like this. Kita is a pretry straight forward guy. To have him say this, means he 100% feels this way.
And his team, respects him so much, the essentially promise to him, he will always be their captain. Kita will always be the one behind every and any amazing moments. Because without Kita's leadership, they wouldn't be as skilled as they are. So, for Kita, he is able to feel the captain's pride forever.