Slaven Bilic has come under pressure at West Ham this season
The Hammers' poor form has led to reports suggesting the club are looking to change managers at the end of the season, with Reading's Jaap Stam touted as Bilic's successor.
But Cresswell told Sky Sports: "If you ask any of the players, they would say the same, we are fully behind him and fully supportive of him.
Aaron Cresswell says Slaven Bilic has full backing of West Ham players
"Hopefully we can turn it around and take that pressure off everyone.
"He is positive and passionate about his job. He is bubbly around the place and wants to stay in a positive mood and, as players, that's what we want."
West Ham co-chairman David Sullivan publicly apologised to the club's supporters following this month's 3-2 home defeat to Leicester.
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Bilic's men have an opportunity to end their five-game winless run and return to winning ways when they travel to face third from bottom Hull on Saturday (3pm).
"It is not going right at the minute, we want to put that right on Saturday," Cresswell added.
"We know we haven't been good enough, especially of late, and certainly we look forward to the Hull game."