The Black Cats manager expressed his opinion on the former Argentina international in a recent interview.
Allardyce made the comments after watching La Liga outfit Atletico secure a 1-0 victory in the first leg of their UEFA Champions League semi-final against Bundesliga giants Bayern Munich.
A sublime solo goal from Saul Niguez was the difference at the Vicente Calderon on Wednesday night.
Simeone has his Madrid team well drilled and the players are proactive without the ball to close down opponents. In defence, their goalkeeper and back four have conceded just 16 goals in the league this term to put themselves within touching distance of Barcelona in top spot.
Despite their significant achievements both domestically and in Europe, former Bolton, Newcastle and West Ham boss Allardyce claims Simeone’s work would go unappreciated in England, if he were to transfer his style to a current top-flight club.
He is quoted in Sport as saying: "Seeing Atletico Madrid last night, how they played and how they then defended what they had against a side that is one of the favourites to win the Champions League and is well ahead in the German league.
"It's an art, defending - everybody has forgotten that - it's a tactical art to be able to sense danger and block people's crosses and get your toe in without fouling them now, and they are very, very good at it indeed."
The 61-year-old added: "That's how good the manager is and that's why they are successful. They are successful because they concede fewer goals than everybody else and only need one to win in.
"Now, everybody can say, 'Well, that's not entertaining', but everybody is eulogising Simeone's tactics now. I wouldn't think they would do that in the Premier League so much. 'He's boring this guy, he defends too much' - that's what he'd get here.”