He said: "The point feels like a win".
Palace's upturn has been built on them finally discovering a resilience that had been lacking for much of the season.
It took just six minutes for Robert Huth to hand Leicester the lead at Selhurst Park after he connected with a long throw from Christian Fuchs, directing his header into the back of the net.
It was a bitter defeat for the English champions as the spot-kick was awarded for a Marc Albrighton tackle on Griezmann that took place outside the penalty area.
The mental side showed by coming back to get back to 2-2. Christian Benteke should have done better in the 18th minute when he brought Joel Ward's cross down at the far post before shooting against the legs of Kasper Schmeichel who had narrowed the angle by moving quickly off his line. Wilfried Zaha and Andros Townsend had yet to be born when this occurred. Riyad Mahrez set Vardy free and he easily turned Jeffrey Schlupp before curling in a shot that Wayne Hennessey should have dealt with.
It is still a little too early for Shakespeare and Allardyce to start celebrating survival, but the former colleagues have overseen a major improvement at their respective clubs and are now on the verge of completing their respective missions by ensuring their clubs will be back playing Premier League football in August.
"I have seen fouls given in oher games for what happened with Benteke goal, but there is nothing we can do about it now".
The game had fired into life and the home side worked their way back onto level terms in the 70th minute when Benteke climbed above Yohan Benalouane to head home Townsend's cross.
Crystal Palace manager Sam Allardyce: "A great point for us".
The draw moved Palace seven points clear of third from bottom Swansea leaving Allardyce very satisfied. Another game gone and it is precious because it keeps our run going.
"We'll get it looked at".
Leicester boss Craig Shakespeare believes his side are not yet safe from relegation after they surrendered a two-goal lead against Crystal Palace on Saturday. If that doesn't fancy your gambling interests, the both teams not to score is also a good bet since I don't think Palace will concede with the defence they have at the moment. I'm thinking that we still need the points.
However, the player who stood head and shoulders above all others could not be held responsible for either Palace goal and will be a glaring absentee in a match when the quality of courageous leaders will be paramount.