Sean Dyche felt his side failed to get the rub of the decisions in the 3-1 defeat at Arsenal.
The Clarets boss highlighted a catalogue of things that went against his side at the Emirates, including a yellow card for Ashley Barnes and a penalty appeal for a push on Kevin Long waved away be referee Kevin Friend.
He said: “We can’t get a penalty. I think that’s 60 games now and it’s impossible that we didn’t get one today.
“It’s a clear two-handed push in the back of Kevin and because he doesn’t roll around or go down before he’s been hit, nothing is given.
“Ashley Barnes goes down in a tangle with their lad and gets an elbow in the face and somehow gets a booking, which I am flummoxed by.
“There were two blatant dives again, but nobody gets booked.
“I do try to stay away from officials, but today there were too many important decisions went against us and it’s hard enough coming to these type of places yet we got nothing today.
“Unai (Emery) asked me at the end why I was shouting at the ref, and I’ve just explained why, because you can’t get that many wrong.
“When they look back, I think they will think I have a case.”
The Clarets were chasing the game after Patrick Aubameyang fired them ahead in the 14th minute.
The Gabon striker doubled the advantage early in the second half, before Barnes threw the visitors a lifeline just after the hour.
However, as Burnley pushed hard for an equaliser, they were caught wit a sucker punch as Alex Iwobi – looking marginally offside – settled matters minutes from time.
“I don’t feel it was a 3-1 game and from our point of view I thought there were a lot of good things,” added Dyche.
“We had to change our shape today because we lost the two wide men, so we felt it appropriate to go two up top and I was pleased with the way the team adapted to the shape.
“We had a really strong mentality because it’s not easy coming down to places like this, but we came here to try and win and you go away disappointed because it was a good performance.
“Certainly two of the three goals are soft and the other is marginally offside, so we know we have to eradicate that.
“But we have played three of the top four sides in the division recently and certainly done enough, mentally and tactically to get something from the games.
“But with all due respect not everyone has the power of these clubs, so there’s a lot to be pleased about, even though we go away with nothing.
“We can’t be pleased with the league position because we have to win games. But there is life in what we are doing.”