Mahrez and Algeria global teammate Slimani scored inside seven second-half minutes at the King Power Stadium as the Foxes ended a six-game wait for a win.
"You say the word, speculation. We're on a good starting point to achieve our target - to survive in the Premier League - not more, not less".
Mahrez's Algeria teammate Slimani scored his first Premier League goal since April in just his second league start this season, with Jamie Vardy out with a groin injury, to earn the praise of Puel. "He kept a good, positive attitude". Leicester bought Silva from Sporting Lisbon for 22 million pounds ($28.7 million) on transfer deadline day in August, but did not register the deal with Federation Internationale de Football Association on time. "It was wonderful to see him at this level and with this quality and positive outlook".
Leicester suffered a blow just before the half-hour mark as captain Wes Morgan was forced off through injury, though they almost broke the deadlock a few moments later, Slimani putting an effort wide from 12 yards after a scramble in the area.
Puel added: "It's a bad injury, a hamstring injury, Wes slipped on the pitch".
While Adrien Silva will be registered for the Foxes in January, it will not be in time for him to be involved in the game against the Terriers. Marc Albrighton netted a late third to seal a victory that sees Leicester stay eighth, while Huddersfield remain 11th despite their first defeat in five.
He said: "Absolutely, this was the case, and unfortunately we didn't score the first one".
The 46-year-old saw his side have a goal chalked off for offside before the referee, Paul Tierney, turned his nose up at Burley's "blatant" penalty early on in the second-half.
"Even we know, after 22 games in the Premier League, the small margins decide the game".
"It was a clear result but for 60 minutes it wasn't a clear game".