Bilic is under growing pressure at the London Stadium after three straight defeats, though West Ham remain 12th in the Premier League and it would take a remarkable series of results for them to be dragged into a relegation dogfight.
However their recent struggles have led to increased speculation over whether Bilic will still be at the helm next season.
Cresswell has been among several Hammers whose form has slumped this season after the highs of Bilic’s first year in charge, when West Ham finished seventh in their final campaign at Upton Park, but he insists the manager still has his squad’s backing.
“If you ask any of the players, they would say the same, we are fully behind him and fully supportive of him. Hopefully we can turn it around and take that pressure off everyone,” Cresswell told Sky Sports.
“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.
“There's no point being negative about the defeats that we've had.”
Joint-chairman David Sullivan offered a particularly damning assessment of West Ham after their most recent defeat, 3-2 to Leicester, questioning why Bilic’s side are conceding so many goals.
Only three teams (Bournemouth, Swansea and Hull) have conceded more goals than West Ham’s 52 in the Premier League this season, of which eight have come in the last three games.
“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.
“We're going to train hard for the next few days and prepare well for the game.”