"We're pleased we got something back. You're always greedy, aren't you? Want more," said Dyche.
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"The points the club made have obviously been listened to and we got the four points back.
"We'll take that and it brings clarity to the situation, which is good for us, good for the players, but good for all actually."
Everton are now waiting on a second case.
Dyche said, "There's nothing we can do at this time. The main focus was on this appeal and what came from it.
"We've certainly parked that now because it's become a fact. The line's drawn under that now - the players are clear of that.
"We'll take on the rest of the season with an open mind."