The Toffees faithful were handed an embarrassing performance from their players as they went down by three goals in the first half, with the scoreline remaining 3-0 until the end of the game.
Jagielka told the club's website: "I massively feel for the supporters. I went over to clap them at the end, which wasn't nice to do. They have spent a lot of time and money to get here.
"We are devastated ourselves as players but it is the fans who the result lets down the most.
"With the quality we have you expect to put in a better performance. The last three displays we have put in have been nowhere near good enough.
"They have been tough games, we have to admit that, but we need the fight and the desire to be there. In the second half we put on a little bit of a better performance but even then, we probably saved ourselves from being embarrassed.
"We have a few games in the league now and we need to make sure we come out, put in a lot better performances and pick up as many points as we can."