Mark Noble has had his best season to date for West Ham and has been immense in defending doggedly in the midfield but also passing the ball forward. It is clear he has learnt much in terms of retaining possession from Scott Parker's time at the club and he seems to have improved in fitness, stamina and speed over the Summer - he will be the root of the midfield intensity in the 'gegenpressing' system.
Momo Diame is perhaps not the perfect partner in this position but his ability to pick the ball up and dribble it forward with power will certainly be useful. After an outstanding debut season in East London, Diame has been accused of lacking interest this term - to fit into the new system he will need to improve defensive intensity and also his vision. Diame has often been guilty of keeping his head down and running with the ball into trouble, this has led Allardyce to put him on the wing more often this season as it presents less risks in central areas. Perhaps, if he returns with a better attitude, Ravel Morrison would be a more suitable candidate for the role given his superior passing ability. However, Diame is a good player and shone on many occasions last season - he shouldn't be written off.
Stewart Downing is clearly a favourite of Allardyce due to his excellent crossing ability but also his responsibility when it comes to defending; this attitude is vital to 'gegenpressing' as the wingers need to retain an element of cautiousness when the full-backs attack.
Matt Jarvis has had a very disappointing season but his price-tag and an England call-up show how highly he was rated when West Ham signed him. Jarvis has the pace and the ability to enjoy the new system, he just needs to boost confidence over the Summer and, crucially, to add more goals to his game.
Finally, Kevin Nolan is a problematic figure. He has been a figure of fan-frustration at times, however, he is likely to chip in with a goal, and finishing is something the Hammers' probably lack. If Allardyce was to push forward with 'gegenpressing', he would probably have to sacrifice Nolan, his captain and a player he has had a long association with. Nolan lacks the intense energy and play-making skills and could probably be relegated to a 'plan B' for West Ham. This is another role that, if disciplined enough, Morrison could fulfil. It seems a little harsh on Nolan, who is good at what he does, but he simply doesn't suit the system.
Attack - Andy Carroll
Who said the centre-forward is dead? Because of Barcelona's interchangeable 5 foot-somethings amongst the front three, there was a great hysteria that the number 9 was dead, a fossil of the shameful past of muddy pitches and two-footed slide tackles. Carroll himself became somewhat of an unjust symbol for this. But both Dortmund and Atletico have strikers over six-foot in the form of Robert Lewandowski and Diego Costa. Incredibly Lewandowski is set to move to Bayern Munich to play under 'tiki-taka' pioneer Pep Guardiola whilst Costa has forced away into the Spain side! The rebirth is here.
There are few better than Andy Carroll in the air and he is a fantastic asset for West Ham from crosses and winning the long-ball. Carroll is also a hard-worker and quicker than many think, meaning that he will help to maintain intensity high up the field by chasing down defenders and forcing errors. Perhaps dribbling could be worked on to give Carroll another element of penetration, but if the big-man stays fit he should fit into the system well.
It's clear that West Ham have the squad available to reinvent themselves somewhat to a more intense, energetic unit. Some Summer shopping will be needed to upgrade certain areas and strengthen the depth of the squad but the foundations are there. Despite some protestations, Allardyce should be greatly praised for the stability he has brought to the turbulent club so far - but now is a time in his career and the evolution of West Ham United to kick on and prove the critics wrong.
For the sake of English football we must hope Allardyce gets the chance and isn't replaced by yet another young, foreign 'director of football' in a fancy suit, as that is the way many owners seem to be going. Give him a chance and who knows? In just a few years West Ham could be playing exciting football, in Europe, in a 60,000 stadium.