"We work to a system that other people have copied and are doing very well with," said the Bolton boss.
"Whatever is labelled at me, good or bad, is fine. I will quite happily accept it.
"I was the first to bring 4-5-1 into this country. I will blow my own trumpet and admit it.
"I know where it has got Bolton. We are re-writing history by playing in Europe for the first time.
"We play attacking football when we need to, we play short, passing football when we need to, we play long when we need to.
"We try and score as many goals as we can, given that we don't have Thierry Henry or Ruud van Nistelrooy. We do, though, have a great bunch of players."
Allardyce is aware supporters would prefer to see traditional high-tempo games but says results have to come before entertainment.
"What you see in the Premiership is what European football is about," he told the club's in-house TV station Wanderers World.
"It has evolved technically and tactically to a point of organisation that is very difficult to break down.
"Teams are not prepared to come out of their shell so much. They will only do it on occasions.
"So you have this more cautious, more patient game that none of the English fans like.
"We are as good in this country as anybody else in the world, if not better. We have a league fans want to see. We want to provide attacking, good football but we are in the results game and only the results game."
Meanwhile, Sheffield United boss Neil Warnock has denied that midfielder Phil Jagielka is a £4million target for Bolton.
The 23-year-old was recently linked with a move to the Reebok Stadium but Warnock said: "We've not heard anything about him since we turned down an offer from Wigan.
"If we had wanted to sell him, we would have done it in the summer."