Leicester threw everything at them towards the end of the match and finally equalised when Mahrez took a free kick nearly 30 metres out.
Mahrez curled home a 25-yard free-kick deep into injury time to cancel out Joshua King's first-half penalty.
Leicester are eighth in the league with 36 points from 28 games.
"It was insane in the second half with all the chances we had to score", said Puel. "I think it will be a good test and, hopefully, we will do well".
Eddie Howe's side have only lost once in 10 matches since Christmas but will rue not being further than six points away from the relegation zone in 11th.
"It has been a tough afternoon for us as we did a lot of things right today", Sky Sports News quotes him as saying following the 1-1 draw at the King Power Stadium. "It is a shame and a disappointment also because we dropped two points". "We need more consistency".
"I'm happy about Wilfred, like Harry (Maguire), Riyad (Mahrez), Jamie (Vardy), all the players".
The 40-year-old said: "It's a hard one for us to take".
He added: "My emotion was a disgusted one to see the goal go in, but you have to admire the technical quality for Riyad Mahrez to score from there".
Howe continued: "It's a frustration not to get over the line, but it wasn't to be, credit to Leicester". There's some positives to take in the way we've defended and I felt we deserved some luck, but it wasn't to be.