The Gunners struck inside the opening minute through Theo Walcott before David Moyes' Toffees increased their output and managed to grab a 28th minute equalizer through Marouane Fellaini.
"You have to give credit to both teams who gave absolutely everything," said Wenger.
"It was tense, uncertain and with total commitment on both sides.
"I hope we will recover in time for Saturday as we have now had three very physical games.
"My players have given a lot; it was a fair point for both sides. I'm happy with the commitment and desire, overall it is encouraging."