Cresswell has impressed after making the step-up from the Championship to top-level football this season and looks a threat in both boxes.
The summer signing from Ipswich Town offers good defensive solidarity, but he has also shown his skill in attack and he has revealed that he, and the other Hammers full-backs, are being encouraged to give plenty of service to the team's front-pair.
This skill was on full display against Burnley at the weekend, as the London side secured a 3-1 victory, and Cresswell believes that his assist for Diafra Sakho's goal was the perfect example of what they have been working on in training.
"It's nice to get an assist and when you do put the ball in and you see the ball go in the back of the net, it's great, but the main thing was the three points and we got that," he said to the club's official site.
"It was a good ball and it was a good header. Even the same with Jenks [Carl Jenkinson]. Jenks put in a great ball for Enner [Valencia] and Enner scored it.
"That's the modern day full-back and for both teams on Saturday, both full-backs put a lot of balls in the box. It's something we work on in training with the gaffer and Macca [Neil McDonald]. So if you keep putting good balls in the box, nine times out of ten you should score one."
With Sakho and Valencia to aim at, Cresswell has two good targets to pick out when he does get forward.
The strike-pairing have been a major reason behind the success that Allardyce's side have had in the early season.
The pair now have eight goals between them and have helped the side climb into the top four of the Premier League table.
It is a remarkable start to the campaign for a team who were expected to be in for another season of mediocrity before it kicked off and they will be looking to push after this start.
Already there is talk of a European place being obtainable for the Hammers and they will be hoping to consolidate their position in the top four when they take on Manchester City at the weekend.