A seventh-place finish would bring European football back to the King Power Stadium, providing Southampton do not win the FA Cup.
"For Burnley Football Club even to be spoken about, it's a long, long way from where we were, it's a long, long way from where we were at the end of last season".
Burnley earned their fifth straight Premier League win with a 2-1 triumph over Leicester City at Turf Moor on Saturday to boost their chances of qualifying for next season's Europa League.
The 26-year-old spent two and a half seasons with Leicester between January 2013 and the summer of 2015, when a lack of games prompted him to leave for Leeds, meaning he missed out on the Foxes' remarkable Premier League title the following season.
He said: "I think when we finished a game with this quality, without good tempo, it was a big disappointment and frustration for all".
Puel said, "Of course I was impressed because there was good concentration before the game and good duels at the beginning and it was close with the other team but to concede two goals quickly it was hard to accept. Now it's open-minded and see how far we can go".
And early goals from Chris Wood and Kevin Long stretched the Clarets' advantage over their eighth-placed opponents to nine points with five matches remaining. I got on really well with the players, the staff, the owners are great as well.
"I thought (we had) a very fast start, a pretty decent first half, and then second half we started well, but 2-0 is a amusing scoreline, especially at this stage of the season. It's very hard to get five wins on the trot so I'm very pleased overall".
The Frenchman thinks it is an achievement Leicester have something to play for at this stage of the campaign given where they were when he arrived. It's a good opportunity to start the game and to play with the first team. "It was close but after the two goals it was surprising", he added.