Burnley have endured a setback in their Europa League dream after falling 3-1 to Olympiakos in the first leg of their fourth-round qualifying tie.
However, speaking after the game, Dyche felt as though the travelling Clarets fans hadn't witnessed a fair game.
"I feel for our fans, they've come a long way to see a balanced game and haven't seen that," Dyche said.
"Hopefully next week will be more even."
On Gibson's handball, Dyche said: "They miraculously...when one of our players goes to block the ball, it hits his hip then his hand, that's deemed a professional handball and he's sent off."