Boss Sean Dyche insisted he was never worried about Burnley's lack of goals after they ended their record drought.
Michael Kightly scored the Clarets' first goal in 10 hours and 55 minutes of action, setting a new club record by four minutes.
Ross Wallace's stoppage-time free kick salvaged a 2-2 draw as Burnley lifted themselves off the bottom of the Premier League.
Jeff Schlupp and Riyad Mahrez twice put Leicester in front but the visitors battled back and Dyche insisted the goals would always come.
He said: "A lot was made of it. I know we're creating chances but the rest of it is opinion. I thought we made a lot of good chances and it's about the quality of chance. We want chances which are really open but we are making nearly chances.
"It's been coming and it was a moment of real talent from Ross and the first was a fantastic little clip from Scott Arfield to Lukas [Jutkiewicz] and Kites is on the spot. It was a really good move and it's important we find that within our play."
It was a deserved point for the Clarets as they improved after last week's 4-0 defeat at West Brom to move off the bottom on goal difference.
"I was really pleased with the performance, me speaking about it wouldn't be different if we'd lost, but the point adds a bit of gloss to it," added Dyche.
"We deserved a point. Whatever happens you have to move forward. I felt we were dominant."