The 58-year-old insists that no matter how well a team is coached if there is a financial disparity between teams, the richer side will triumph more often than not, emphasising the need for Newcastle to spend more money on players.
Miguel Almiron started on the left flank and his blistering pace was a real outlet at the King Power Stadium.
The Magpies are not mathematically safe from the drop but Perez is sure they have survived.
Benitez's contract expires at the end of the season and he has compared talks with controversial club owner Mike Ashley to Brexit negotiations.
"We're still very professional and know we can get even better and carry on the same way". It was one of those nights where it didn't quite come off for us.
Vardy recorded a single shot on target during the game, failing to test Dubravka when teed up by Tielemans in the closing stages, and was brilliantly marshalled by a Newcastle back line that denied him space to show off his pace.
And Perez feels without the former Liverpool manager in charge the Magpies may have gone down.
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"We are seeing them under pressure", said Rodgers. "That's what happened in my second season here, we were relegated with a great team".
Almiron proved in the MLS that he can be a goalscoring threat on his left foot and he needs to try being more clinical in the final third in the Premier League.
"You have to adapt yourself to what the manager wants".
"The wish of everyone at the club is for Rafa to stay".
The striker was the matchwinner at Leicester last night.
"It's just time, it's historic in this type of game where we've lost 1-0 and teams have camped in", he said.
"You cannot go up against a team thinking "maybe we can win" or that a draw is a good result, no".
Perez wasted a good chance to double Newcastle's lead early in the second half when he volleyed wide from Rondon's cross.