Fresh from putting pen to paper on a new contract which could potentially keep him with the east Londoners for the next seven years, Cresswell hopes new arrivals will be hot on his heels ahead of a crucial few seasons in the history of the club.
But the Hammers have moved quickly to ward off any interest with a bumper new deal running until 2020, with the option for a further two years after that.
Speaking to West Ham's official website after penning the new deal, the former Liverpool youth player said he hopes new arrivals will boost the squad even further as they compete in Europe for the first time in nearly a decade in what is also the club's last season at the Boleyn Ground before their move to the 54,000 seater Olympic Stadium.
"It's going to be a massive year for us, the last year at Upton Park," the former Ipswich Town defender told whufc.com.
"But it's exciting times going into one of the best stadiums in Europe, even in the world.
"It's going to be a good summer, hopefully a few more faces will come in and we’ll have a good year.”
West Ham have been one of the busiest clubs so far this summer since replacing Sam Allardyce with Slaven Bilic.
They have already signed Republic of Ireland goalkeeper Darren Randolph from Birmingham City, Spanish midfielder Pedro Obiang from Sampdoria and star midfielder Dimitri Payet from Marseille.
But if co-owners David Sullivan and David Gold are true to their promise of bringing in at least five top quality additions, then Cresswell will get his wish come the start of the season.
The former Tranmere defender was one of the big success stories of West Ham's ultimately disappointing 2014/15 campaign where they were as high as fourth at Christmas but ended up finishing 12th.
After signing from Ipswich for just £3million, Cresswell proved players can make the step up from the Championship as he went on to play every minute of every league game for the Irons and won a hat-trick of awards at the end of the season including the prestigious Hammer of the Year honour.