The result sees Palace finish eleventh on the table.
Hodgson said, "I thought we deserved to win because we had many more opportunities and much more of the ball.
"For us a point is OK, we wanted all three but we're not going to beat ourselves up or lose any sleep over taking one."
On his future, he added: "I have no idea. My situation is very simple: I took on a job, I was pleased to take on the job.
"The mandate was a simple one, to come in and help the team to get the number of points we need to stay in the league. That's what I've done and what I've enjoyed doing."