The 24-year-old joined the Eagles from reigning champions Leicester City after struggling for playing time at King Power Stadium.
The Hamburg-born played 88 minutes on Saturday, but was unable to save his team from a 1-0 home defeat at Selhurst Park.
"Obviously Everton at home is a tough match to go into for your debut, and it’s been a while since I have played a full 90 minutes in the Premier League but I enjoyed it," Schlupp told his club's official website.
"The crowd was roaring as always and made me feel at home.
"There are plenty of positives to take from the game; we created a lot and looked dangerous going forward.
"We need to take that into the next game and start picking up some points.
"We know what it takes to get out of it, so we need to keep our heads as the game is gone now and look forward to the next game and put things right."
Schlupp made four league appearances this season prior to his move to Palace.
He is expected to be in action when the Eagles face Manchester City in the FA Cup on Saturday.