The Cobblers pulled off a shock win at Newport thanks to goals from on-loan Everton youngster Hallam Hope and midfielder Darren Carter either side of half-time, while goalkeeper Matt Duke saved home midfielder Andy Sandell's late penalty.
King has led the Sky Bet League Two basement club to four points from two games since taking charge following Aidy Boothroyd's sacking.
King said: "I've loved it. I've got my spark back.
"I've proved I'm a manager.
"I always knew I am a manager, but I didn't shout it from the rooftops because there was no point because no-one was listening.
"There have been no discussions at the moment, I haven't thought about it too much.
"I know they have probably spoken to other people, but all I can do is try and get Northampton to win football matches.
"I've made their choice harder, but if they go with someone else I have made their job a little bit easier because now there is a real chance of us getting out of this position.
"We have been on a really bad run, but I thought they earned that win.
"If we had got a lucky result I would say so, but we created a lot of chances and probably could have had a couple more.
"It was a very entertaining game and my players were fantastic.
"They showed skill, energy and then a determination to win the game, which I like."
Teenager Hope gave Northampton the lead with a smart finish after 29 minutes.
County hit back in first-half injury time through Harry Worley's towering header from a corner.
But the visitors were back in front two minutes into the second half thanks to Carter's stunning 25-yard strike.
Newport's Sandell had a late penalty saved by Duke after David Pipehad been fouled by Lee Collins.
County boss Justin Edinburgh felt his side were unlucky to finish empty-handed.
"We created enough chances to win three games," he said.
"That's probably the most chances we've created in any one game for a long period of time, but we haven't been ruthless enough in front of goal to make those chances count.
"That was the first problem, but the goals we gave away were also very poor.
"We scored an equaliser at a great time and then we gave them a gift of a goal for the second.
"I applaud the players for the amount of chances and the way they played in the second half, but let's not dress it up, we had more than enough chances to win the game.
"But we win and lose as a team. We can defend better and we can attack better."